507009313 has 2 divisors, whose sum is σ = 507009314. Its totient is φ = 507009312.

The previous prime is 507009277. The next prime is 507009329. The reversal of 507009313 is 313900705.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 476461584 + 30547729 = 21828^2 + 5527^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-507009313 is a prime.

It is not a weakly prime, because it can be changed into another prime (507009353) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 253504656 + 253504657.

It is an arithmetic number, because the mean of its divisors is an integer number (253504657).

Almost surely, 2^507009313 is an apocalyptic number.

It is an amenable number.

507009313 is a deficient number, since it is larger than the sum of its proper divisors (1).

507009313 is an equidigital number, since it uses as much as digits as its factorization.

507009313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2835, while the sum is 28.

The square root of 507009313 is about 22516.8672998710. The cubic root of 507009313 is about 797.3921922646.

The spelling of 507009313 in words is "five hundred seven million, nine thousand, three hundred thirteen".