Salinger is from the German place name — referring to a person from Salzburg ("salt fortress") in Austria. J.D. Matt Salinger (born 1960) — male; J.D. Salinger's son; played Captain America in Captain America (1990); has guarded his father's literary estate since his death. Margaret Salinger — J.D. Salinger's daughter; Dream Catcher: A Memoir (2000).
Salinger 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 Salinger reduce to 4, The Builder. This is a traditional interpretive system, not a factual claim about the name.