As a deity name
Name 533 of the Narasimha Sahasranāma — Brahmanda Purana / Narasimha Purana, as taught by Sages to Assembly of Devotees
Name 470 of the Vishnu Sahasranāma — Mahabharata (Anushasana Parva), as taught by Bhishma to Yudhishthira on his deathbed
As a Hindi name
वत्सर · noun · masculine
उतना काल या समय जितने में पृथ्वी सूर्य की एक परिक्रमा पूरी करती है और सब ऋतुओं की एक उद्धरणी हो जाती है । काल का वह मान जो बारह महीनों या ३६५ दिनों का होता है । वर्ष । साल । बरस — Śabdasāgara
वत्सर · vatsar · s.m.
A year — Platts (1884), digital edition courtesy DSAL, University of Chicago, p. 1180
वत्सर · vatsar · s.m.
A young bullock, a steer — Platts (1884), digital edition courtesy DSAL, University of Chicago, p. 1180
As a Sanskrit word
Meaning
the fifth year in a cycle of 5 or 6 years, (or) the sixth year in a cycle of 6 years
Scripturally attested Verified derivationMultiple readings (4)Why this matches what you typed
M1 · same meaning "vatsara" is the vocative of "vathsara" — the same word in a different grammatical case.
Dictionary citations
vatsara m. the fifth year in a cycle of 5 or 6 years, (or) the sixth year in a cycle of 6 years, VS.; TS.; PārGṛ.
a year, Mn.; Yājñ.; VarBṛS. &c. (also n., MaitrUp. and f(ī). , HPariś.)
the Year personified, Mn. xii, 49 (as a son of Dhruva and Bhrami, BhP.; also applied to Viṣṇu, MBh.)
N. of a Sādhya, Hariv. (v.l. matsara)
of a son of Kaśyapa, Cat. (v.l. vatsāra).
vathsara m. = vatsara (accord. to the grammarian Pauṣkarasādi).
Alternative readings
More than one analysis survives full verification. That ambiguity is real, so we show every reading rather than pick one silently.
Caveats
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