251500125141 has 12 divisors (see below), whose sum is σ = 364087046700. Its totient is φ = 167293324800.

The previous prime is 251500125109. The next prime is 251500125143. The reversal of 251500125141 is 141521005152.

It is a happy number.

251500125141 is a `hidden beast` number, since 2 + 5 + 1 + 500 + 12 + 5 + 141 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 73883394225 + 177616730916 = 271815^2 + 421446^2 .

It is not a de Polignac number, because 251500125141 - 2⁵ = 251500125109 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (251500125143) 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, 31114510 + ... + 31122591.

It is an arithmetic number, because the mean of its divisors is an integer number (30340587225).

Almost surely, 2^251500125141 is an apocalyptic number.

It is an amenable number.

251500125141 is a deficient number, since it is larger than the sum of its proper divisors (112586921559).

251500125141 is a wasteful number, since it uses less digits than its factorization.

251500125141 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62237556 (or 62237553 counting only the distinct ones).

The product of its (nonzero) digits is 2000, while the sum is 27.

The spelling of 251500125141 in words is "two hundred fifty-one billion, five hundred million, one hundred twenty-five thousand, one hundred forty-one".