513164404657 has 2 divisors, whose sum is σ = 513164404658. Its totient is φ = 513164404656.

The previous prime is 513164404609. The next prime is 513164404691. The reversal of 513164404657 is 756404461315.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 485852214961 + 27312189696 = 697031^2 + 165264^2 .

It is a cyclic number.

It is not a de Polignac number, because 513164404657 - 2³⁵ = 478804666289 is a prime.

It is not a weakly prime, because it can be changed into another prime (513164404457) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 256582202328 + 256582202329.

It is an arithmetic number, because the mean of its divisors is an integer number (256582202329).

Almost surely, 2^513164404657 is an apocalyptic number.

It is an amenable number.

513164404657 is a deficient number, since it is larger than the sum of its proper divisors (1).

513164404657 is an equidigital number, since it uses as much as digits as its factorization.

513164404657 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1209600, while the sum is 46.

The spelling of 513164404657 in words is "five hundred thirteen billion, one hundred sixty-four million, four hundred four thousand, six hundred fifty-seven".