252315144351 has 24 divisors (see below), whose sum is σ = 386218319760. Its totient is φ = 158448528000.

The previous prime is 252315144343. The next prime is 252315144383. The reversal of 252315144351 is 153441513252.

252315144351 is a `hidden beast` number, since 2 + 52 + 3 + 1 + 514 + 43 + 51 = 666.

It is not a de Polignac number, because 252315144351 - 2³ = 252315144343 is a prime.

It is a super-2 number, since 2×252315144351² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252315144311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11778625 + ... + 11800026.

It is an arithmetic number, because the mean of its divisors is an integer number (16092429990).

Almost surely, 2^252315144351 is an apocalyptic number.

252315144351 is a deficient number, since it is larger than the sum of its proper divisors (133903175409).

252315144351 is a wasteful number, since it uses less digits than its factorization.

252315144351 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23578727 (or 23578724 counting only the distinct ones).

The product of its digits is 72000, while the sum is 36.

The spelling of 252315144351 in words is "two hundred fifty-two billion, three hundred fifteen million, one hundred forty-four thousand, three hundred fifty-one".