13137582627 has 24 divisors (see below), whose sum is σ = 20771271248. Its totient is φ = 7952126400.

The previous prime is 13137582617. The next prime is 13137582649. The reversal of 13137582627 is 72628573131.

13137582627 is a `hidden beast` number, since 1 + 3 + 1 + 3 + 7 + 582 + 62 + 7 = 666.

13137582627 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 13137582627 - 2²⁸ = 12869147171 is a prime.

It is a super-2 number, since 2×13137582627² (a number of 21 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (13137582607) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 913249 + ... + 927522.

Almost surely, 2^13137582627 is an apocalyptic number.

13137582627 is a deficient number, since it is larger than the sum of its proper divisors (7633688621).

13137582627 is a wasteful number, since it uses less digits than its factorization.

13137582627 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1840851 (or 1840848 counting only the distinct ones).

The product of its digits is 423360, while the sum is 45.

The spelling of 13137582627 in words is "thirteen billion, one hundred thirty-seven million, five hundred eighty-two thousand, six hundred twenty-seven".