10513086257 has 2 divisors, whose sum is σ = 10513086258. Its totient is φ = 10513086256.

The previous prime is 10513086223. The next prime is 10513086319. The reversal of 10513086257 is 75268031501.

10513086257 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9346248976 + 1166837281 = 96676^2 + 34159^2 .

It is a cyclic number.

It is not a de Polignac number, because 10513086257 - 2²⁴ = 10496309041 is a prime.

It is a super-2 number, since 2×10513086257² (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10513086257.

It is a weakly prime.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5256543128 + 5256543129.

It is an arithmetic number, because the mean of its divisors is an integer number (5256543129).

Almost surely, 2^10513086257 is an apocalyptic number.

It is an amenable number.

10513086257 is a deficient number, since it is larger than the sum of its proper divisors (1).

10513086257 is an equidigital number, since it uses as much as digits as its factorization.

10513086257 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 50400, while the sum is 38.

The spelling of 10513086257 in words is "ten billion, five hundred thirteen million, eighty-six thousand, two hundred fifty-seven".