12513187568817 has 18 divisors (see below), whose sum is σ = 19571908763862. Its totient is φ = 7700423118336.

The previous prime is 12513187568789. The next prime is 12513187568851. The reversal of 12513187568817 is 71886578131521.

12513187568817 is a `hidden beast` number, since 1 + 2 + 51 + 3 + 1 + 8 + 7 + 568 + 8 + 17 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 31939408656 + 12481248160161 = 178716^2 + 3532881^2 .

It is not a de Polignac number, because 12513187568817 - 2²⁴ = 12513170791601 is a prime.

It is a super-2 number, since 2×12513187568817² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12513187563817) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 4113472368 + ... + 4113475409.

It is an arithmetic number, because the mean of its divisors is an integer number (1087328264659).

Almost surely, 2^{12513187568817} is an apocalyptic number.

It is an amenable number.

12513187568817 is a deficient number, since it is larger than the sum of its proper divisors (7058721195045).

12513187568817 is a wasteful number, since it uses less digits than its factorization.

12513187568817 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8226947809 (or 8226947793 counting only the distinct ones).

The product of its digits is 22579200, while the sum is 63.

The spelling of 12513187568817 in words is "twelve trillion, five hundred thirteen billion, one hundred eighty-seven million, five hundred sixty-eight thousand, eight hundred seventeen".