13161157674561 has 80 divisors (see below), whose sum is σ = 21698971749840. Its totient is φ = 7898091909120.

The previous prime is 13161157674541. The next prime is 13161157674601. The reversal of 13161157674561 is 16547675116131.

13161157674561 is a `hidden beast` number, since 1 + 3 + 1 + 6 + 1 + 1 + 5 + 7 + 6 + 74 + 561 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 9840963494961 + 3320194179600 = 3137031^2 + 1822140^2 .

It is not a de Polignac number, because 13161157674561 - 2⁷ = 13161157674433 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 13161157674498 and 13161157674507.

It is not an unprimeable number, because it can be changed into a prime (13161157674541) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 97892361 + ... + 98026713.

It is an arithmetic number, because the mean of its divisors is an integer number (271237146873).

Almost surely, 2^{13161157674561} is an apocalyptic number.

It is an amenable number.

13161157674561 is a deficient number, since it is larger than the sum of its proper divisors (8537814075279).

13161157674561 is a wasteful number, since it uses less digits than its factorization.

13161157674561 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136688 (or 136679 counting only the distinct ones).

The product of its digits is 3175200, while the sum is 54.

The spelling of 13161157674561 in words is "thirteen trillion, one hundred sixty-one billion, one hundred fifty-seven million, six hundred seventy-four thousand, five hundred sixty-one".