251253352152 has 96 divisors (see below), whose sum is σ = 749689583760. Its totient is φ = 75383520000.

The previous prime is 251253352139. The next prime is 251253352177.

251253352152 is a `hidden beast` number, since 2 + 5 + 1 + 253 + 352 + 1 + 52 = 666.

251253352152 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×251253352152² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1490499 + ... + 1650482.

Almost surely, 2^251253352152 is an apocalyptic number.

251253352152 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

251253352152 is an abundant number, since it is smaller than the sum of its proper divisors (498436231608).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

251253352152 is a wasteful number, since it uses less digits than its factorization.

251253352152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3141105 (or 3141098 counting only the distinct ones).

The product of its digits is 90000, while the sum is 36.

The spelling of 251253352152 in words is "two hundred fifty-one billion, two hundred fifty-three million, three hundred fifty-two thousand, one hundred fifty-two".