10557667312681 has 2 divisors, whose sum is σ = 10557667312682. Its totient is φ = 10557667312680.

The previous prime is 10557667312651. The next prime is 10557667312721. The reversal of 10557667312681 is 18621376675501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 10528337667600 + 29329645081 = 3244740^2 + 171259^2 .

It is a cyclic number.

It is not a de Polignac number, because 10557667312681 - 2⁷ = 10557667312553 is a prime.

It is a super-2 number, since 2×10557667312681² (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (10557667312601) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5278833656340 + 5278833656341.

It is an arithmetic number, because the mean of its divisors is an integer number (5278833656341).

Almost surely, 2^{10557667312681} is an apocalyptic number.

It is an amenable number.

10557667312681 is a deficient number, since it is larger than the sum of its proper divisors (1).

10557667312681 is an equidigital number, since it uses as much as digits as its factorization.

10557667312681 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 12700800, while the sum is 58.

The spelling of 10557667312681 in words is "ten trillion, five hundred fifty-seven billion, six hundred sixty-seven million, three hundred twelve thousand, six hundred eighty-one".