509056657 has 2 divisors, whose sum is σ = 509056658. Its totient is φ = 509056656.

The previous prime is 509056637. The next prime is 509056663. The reversal of 509056657 is 756650905.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 309795201 + 199261456 = 17601^2 + 14116^2 .

It is a cyclic number.

It is not a de Polignac number, because 509056657 - 2²⁷ = 374838929 is a prime.

It is not a weakly prime, because it can be changed into another prime (509056637) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 254528328 + 254528329.

It is an arithmetic number, because the mean of its divisors is an integer number (254528329).

Almost surely, 2^509056657 is an apocalyptic number.

It is an amenable number.

509056657 is a deficient number, since it is larger than the sum of its proper divisors (1).

509056657 is an equidigital number, since it uses as much as digits as its factorization.

509056657 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 283500, while the sum is 43.

The square root of 509056657 is about 22562.2839491041. The cubic root of 509056657 is about 798.4640618589.

The spelling of 509056657 in words is "five hundred nine million, fifty-six thousand, six hundred fifty-seven".