13627544121 has 12 divisors (see below), whose sum is σ = 19705161060. Its totient is φ = 9075369120.

The previous prime is 13627544033. The next prime is 13627544123. The reversal of 13627544121 is 12144572631.

13627544121 is a `hidden beast` number, since 1 + 3 + 627 + 5 + 4 + 4 + 1 + 21 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 7723773225 + 5903770896 = 87885^2 + 76836^2 .

It is not a de Polignac number, because 13627544121 - 2⁹ = 13627543609 is a prime.

It is not an unprimeable number, because it can be changed into a prime (13627544123) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 796086 + ... + 813023.

It is an arithmetic number, because the mean of its divisors is an integer number (1642096755).

Almost surely, 2^13627544121 is an apocalyptic number.

It is an amenable number.

13627544121 is a deficient number, since it is larger than the sum of its proper divisors (6077616939).

13627544121 is a wasteful number, since it uses less digits than its factorization.

13627544121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1610056 (or 1610053 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

The spelling of 13627544121 in words is "thirteen billion, six hundred twenty-seven million, five hundred forty-four thousand, one hundred twenty-one".