251313157161 has 72 divisors (see below), whose sum is σ = 426041423808. Its totient is φ = 142300065600.

The previous prime is 251313157141. The next prime is 251313157163. The reversal of 251313157161 is 161751313152.

251313157161 is a `hidden beast` number, since 2 + 5 + 13 + 13 + 1 + 571 + 61 = 666.

251313157161 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 251313157161 - 2⁶ = 251313157097 is a prime.

It is not an unprimeable number, because it can be changed into a prime (251313157163) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 960351 + ... + 1193691.

Almost surely, 2^251313157161 is an apocalyptic number.

It is an amenable number.

251313157161 is a deficient number, since it is larger than the sum of its proper divisors (174728266647).

251313157161 is a wasteful number, since it uses less digits than its factorization.

251313157161 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 233435 (or 233421 counting only the distinct ones).

The product of its digits is 18900, while the sum is 36.

The spelling of 251313157161 in words is "two hundred fifty-one billion, three hundred thirteen million, one hundred fifty-seven thousand, one hundred sixty-one".