509418313 has 2 divisors, whose sum is σ = 509418314. Its totient is φ = 509418312.

The previous prime is 509418271. The next prime is 509418323. The reversal of 509418313 is 313814905.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 508412304 + 1006009 = 22548^2 + 1003^2 .

It is a cyclic number.

It is not a de Polignac number, because 509418313 - 2²¹ = 507321161 is a prime.

It is not a weakly prime, because it can be changed into another prime (509418323) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 254709156 + 254709157.

It is an arithmetic number, because the mean of its divisors is an integer number (254709157).

Almost surely, 2^509418313 is an apocalyptic number.

It is an amenable number.

509418313 is a deficient number, since it is larger than the sum of its proper divisors (1).

509418313 is an equidigital number, since it uses as much as digits as its factorization.

509418313 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 12960, while the sum is 34.

The square root of 509418313 is about 22570.2971402682. The cubic root of 509418313 is about 798.6531049690.

The spelling of 509418313 in words is "five hundred nine million, four hundred eighteen thousand, three hundred thirteen".