Savithri is from the Sanskrit सावित्री (Sāvitrī — related to the sun, daughter of Savitr) — from Sanskrit Savitr. Savithri is one of the Sanskrit feminine names — central to traditional Hindu Vedic heritage. Sanskrit feminine name reflecting Hindu mythological heritage.
Savithri does not currently appear in the US Social Security Administration's top 1,000 girls' names, so we don't publish a US rank or birth count for it. That says nothing about the name's standing elsewhere in the world — only that it sits outside the ranked US data we rely on.
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In Pythagorean numerology the letters of Savithri reduce to 7, The Seeker. This is a traditional interpretive system, not a factual claim about the name.