Acyuta (a 'not' + cyuta 'lapsed, fallen') means not leaking or dripping, So that also means the imperishable or unlapsing, permanent, solid.
Acyuta also means One who is without the six transformations beginning with birth.
According to Vishnu Sahasranama Acyuta is the 100th and the 318th names of Lord Vishnu. As per Sri Sankara said Lord Vishnu is unlapsing, because He lacks the six conditions and modifications known as birth, existence, mutation, growth, decay and death.
Acyuta is name of Lord Ganesha known as 'eternal'. Because he is Infinite, without any birth or death.
Also Acyuta is the name often used in Bhagavad Gita as a personal name of Krishna.
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