508009 has 2 divisors, whose sum is σ = 508010. Its totient is φ = 508008.

The previous prime is 507979. The next prime is 508019. The reversal of 508009 is 900805.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 363609 + 144400 = 603^2 + 380^2 .

It is a cyclic number.

It is not a de Polignac number, because 508009 - 2⁹ = 507497 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (508019) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 254004 + 254005.

It is an arithmetic number, because the mean of its divisors is an integer number (254005).

2⁵⁰⁸⁰⁰⁹ is an apocalyptic number.

It is an amenable number.

508009 is a deficient number, since it is larger than the sum of its proper divisors (1).

508009 is an equidigital number, since it uses as much as digits as its factorization.

508009 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 360, while the sum is 22.

The square root of 508009 is about 712.7475008725. The cubic root of 508009 is about 79.7915929695.

Adding to 508009 its product of nonzero digits (360), we get a square (508369 = 713²).

The spelling of 508009 in words is "five hundred eight thousand, nine".