251163432154401 has 32 divisors (see below), whose sum is σ = 366312983715840. Its totient is φ = 152136541617984.

The previous prime is 251163432154391. The next prime is 251163432154463. The reversal of 251163432154401 is 104451234361152.

251163432154401 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 251163432154401 - 2⁷ = 251163432154273 is a prime.

It is not an unprimeable number, because it can be changed into a prime (251163432154471) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 34106881 + ... + 40811838.

It is an arithmetic number, because the mean of its divisors is an integer number (11447280741120).

Almost surely, 2^{251163432154401} is an apocalyptic number.

It is an amenable number.

251163432154401 is a deficient number, since it is larger than the sum of its proper divisors (115149551561439).

251163432154401 is a wasteful number, since it uses less digits than its factorization.

251163432154401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74920085.

The product of its (nonzero) digits is 345600, while the sum is 42.

The spelling of 251163432154401 in words is "two hundred fifty-one trillion, one hundred sixty-three billion, four hundred thirty-two million, one hundred fifty-four thousand, four hundred one".