Aurea is the Latin feminine of aureus (golden). Saint Aurea of Ostia (d. 270) was the Roman virgin-martyr drowned with a stone tied around her neck under Emperor Aurelian — patron saint of Ostia.
Aurea 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 Aurea reduce to 1, The Leader. This is a traditional interpretive system, not a factual claim about the name.