507205313 has 2 divisors, whose sum is σ = 507205314. Its totient is φ = 507205312.

The previous prime is 507205297. The next prime is 507205333. The reversal of 507205313 is 313502705.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 493195264 + 14010049 = 22208^2 + 3743^2 .

It is a cyclic number.

It is not a de Polignac number, because 507205313 - 2⁴ = 507205297 is a prime.

It is not a weakly prime, because it can be changed into another prime (507205333) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 253602656 + 253602657.

It is an arithmetic number, because the mean of its divisors is an integer number (253602657).

Almost surely, 2^507205313 is an apocalyptic number.

It is an amenable number.

507205313 is a deficient number, since it is larger than the sum of its proper divisors (1).

507205313 is an equidigital number, since it uses as much as digits as its factorization.

507205313 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 3150, while the sum is 26.

The square root of 507205313 is about 22521.2191721496. The cubic root of 507205313 is about 797.4949311628.

The spelling of 507205313 in words is "five hundred seven million, two hundred five thousand, three hundred thirteen".