10586668612921 has 2 divisors, whose sum is σ = 10586668612922. Its totient is φ = 10586668612920.

The previous prime is 10586668612913. The next prime is 10586668612931. The reversal of 10586668612921 is 12921686668501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 7323085454400 + 3263583158521 = 2706120^2 + 1806539^2 .

It is a cyclic number.

It is not a de Polignac number, because 10586668612921 - 2³ = 10586668612913 is a prime.

It is a super-2 number, since 2×10586668612921² (a number of 27 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 10586668612921.

It is not a weakly prime, because it can be changed into another prime (10586668612931) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5293334306460 + 5293334306461.

It is an arithmetic number, because the mean of its divisors is an integer number (5293334306461).

Almost surely, 2^{10586668612921} is an apocalyptic number.

It is an amenable number.

10586668612921 is a deficient number, since it is larger than the sum of its proper divisors (1).

10586668612921 is an equidigital number, since it uses as much as digits as its factorization.

10586668612921 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 14929920, while the sum is 61.

The spelling of 10586668612921 in words is "ten trillion, five hundred eighty-six billion, six hundred sixty-eight million, six hundred twelve thousand, nine hundred twenty-one".