The Lord is called Acyuta because He never fails in His prime duty, to give protection to His devotees

Expressions researched:
"Acyuta means the Supreme Lord" |"Krsna is called Acyuta" |"Lord Krsna as Acyuta" |"Lord is called Acyuta" |"Lord is known as Acyuta" |"Visnu-tattva is called acyuta"

SB Canto 4

Dhruva Mahārāja rendered devotional service unto the Supreme, the reservoir of everything, with unrelenting force. While carrying out his devotional service to the Lord, he could see that everything is situated in Him only and that He is situated in all living entities. The Lord is called Acyuta because He never fails in His prime duty, to give protection to His devotees.

SB 4.12.11, Translation and Purport:

Dhruva Mahārāja rendered devotional service unto the Supreme, the reservoir of everything, with unrelenting force. While carrying out his devotional service to the Lord, he could see that everything is situated in Him only and that He is situated in all living entities. The Lord is called Acyuta because He never fails in His prime duty, to give protection to His devotees.

Not only did Dhruva Mahārāja perform many sacrifices, but he carried on his transcendental occupation of engagement in the devotional service of the Lord. The ordinary karmīs, who want to enjoy the results of fruitive activities, are concerned only with sacrifices and ritualistic ceremonies as enjoined in the Vedic śāstras. Although Dhruva Mahārāja performed many sacrifices in order to be an exemplary king, he was constantly engaged in devotional service. The Lord always protects His surrendered devotee. A devotee can see that the Lord is situated in everyone's heart, as stated in the Bhagavad-gītā (īśvaraḥ sarva-bhūtānāṁ hṛd-deśe 'rjuna tiṣṭhati [Bg. 18.61)). Ordinary persons cannot understand how the Supreme Lord is situated in everyone's heart, but a devotee can actually see Him. Not only can the devotee see Him outwardly, but he can see, with spiritual vision, that everything is resting in the Supreme Personality of Godhead, as described in Bhagavad-gītā (mat-sthāni sarva-bhūtāni [Bg. 9.4)). That is the vision of a mahā-bhāgavata. He sees everything others see, but instead of seeing merely the trees, the mountains, the cities or the sky, he sees only his worshipable Supreme Personality of Godhead in everything because everything is resting in Him only. This is the vision of the mahā-bhāgavata. In summary, a mahā-bhāgavata, a highly elevated pure devotee, sees the Lord everywhere, as well as within the heart of everyone. This is possible for devotees who have developed elevated devotional service to the Lord. As stated in the Brahma-saṁhitā (5.38), premāñjana-cchurita-bhakti-vilocanena: only those who have smeared their eyes with the ointment of love of Godhead can see everywhere the Supreme Lord face to face; it is not possible by imagination or so-called meditation.