Amaia is a Basque name meaning "the end" — also "mountain peak" in some Basque dialects. The novel Amaya o los vascos en el siglo VIII (1879) by Francisco Navarro Villoslada is a Basque historical romance.
Amaia is widely used in the Basque Country.
Amaia 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 Amaia reduce to 7, The Seeker. This is a traditional interpretive system, not a factual claim about the name.