12513187568826 has 240 divisors, whose sum is σ = 32958038243592. Its totient is φ = 3537807840000.

The previous prime is 12513187568789. The next prime is 12513187568851. The reversal of 12513187568826 is 62886578131521.

It is a happy number.

12513187568826 is a `hidden beast` number, since 1 + 2 + 51 + 3 + 18 + 7 + 568 + 8 + 2 + 6 = 666.

12513187568826 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 12493503198225 + 19684370601 = 3534615^2 + 140301^2 .

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1985901876 + ... + 1985908176.

Almost surely, 2^{12513187568826} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12513187568826, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16479019121796).

12513187568826 is an abundant number, since it is smaller than the sum of its proper divisors (20444850674766).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12513187568826 is a wasteful number, since it uses less digits than its factorization.

12513187568826 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8907 (or 8891 counting only the distinct ones).

The product of its digits is 38707200, while the sum is 63.

The spelling of 12513187568826 in words is "twelve trillion, five hundred thirteen billion, one hundred eighty-seven million, five hundred sixty-eight thousand, eight hundred twenty-six".