|Ādi-līlā||Chapter 3: The External Reasons for the Appearance of Śrī Caitanya Mahāprabhu|
Bhaktivedanta VedaBase: Śrī Caitanya Caritāmṛta Ādi 3.32
prathama līlāya tāńra 'viśvambhara' nāma
bhakti-rase bharila, dharila bhūta-grāma
prathama — first; līlāya — in the pastimes; tāńra — of Him; viśvambhara nāma — the name Viśvambhara; bhakti-rase — with the mellow of devotional service; bharila — He filled; dharila — saved; bhūta-grāma — all the living entities.
In His early pastimes He is known as Viśvambhara because He floods the world with the nectar of devotion and thus saves the living beings.
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His Divine Grace A. C. Bhaktivedanta Swami Prabhupāda, Founder Ācārya of the International Society for Krishna Consciousness