508513 has 2 divisors, whose sum is σ = 508514. Its totient is φ = 508512.

The previous prime is 508499. The next prime is 508517. The reversal of 508513 is 315805.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 508369 + 144 = 713^2 + 12^2 .

It is a cyclic number.

It is not a de Polignac number, because 508513 - 2¹³ = 500321 is a prime.

It is not a weakly prime, because it can be changed into another prime (508517) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 254256 + 254257.

It is an arithmetic number, because the mean of its divisors is an integer number (254257).

2⁵⁰⁸⁵¹³ is an apocalyptic number.

It is an amenable number.

508513 is a deficient number, since it is larger than the sum of its proper divisors (1).

508513 is an equidigital number, since it uses as much as digits as its factorization.

508513 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 600, while the sum is 22.

The square root of 508513 is about 713.1009746172. The cubic root of 508513 is about 79.8179715514.

The spelling of 508513 in words is "five hundred eight thousand, five hundred thirteen".