10057257556613 has 2 divisors, whose sum is σ = 10057257556614. Its totient is φ = 10057257556612.

The previous prime is 10057257556589. The next prime is 10057257556667. The reversal of 10057257556613 is 31665575275001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9950447551489 + 106810005124 = 3154433^2 + 326818^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10057257556613 is a prime.

It is a super-2 number, since 2×10057257556613² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10057857556613) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5028628778306 + 5028628778307.

It is an arithmetic number, because the mean of its divisors is an integer number (5028628778307).

Almost surely, 2^{10057257556613} is an apocalyptic number.

It is an amenable number.

10057257556613 is a deficient number, since it is larger than the sum of its proper divisors (1).

10057257556613 is an equidigital number, since it uses as much as digits as its factorization.

10057257556613 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6615000, while the sum is 53.

The spelling of 10057257556613 in words is "ten trillion, fifty-seven billion, two hundred fifty-seven million, five hundred fifty-six thousand, six hundred thirteen".