Swastika is from the Sanskrit svastika (स्वस्तिक — auspicious, well-being) — the iconic ancient Hindu-Buddhist-Jain symbol of auspiciousness. Princess Swastika — Hindu heritage naming.
Swastika 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.
In Pythagorean numerology the letters of Swastika reduce to 4, The Builder. This is a traditional interpretive system, not a factual claim about the name.