252145331523 has 48 divisors (see below), whose sum is σ = 383414653440. Its totient is φ = 159368668800.

The previous prime is 252145331411. The next prime is 252145331551. The reversal of 252145331523 is 325133541252.

252145331523 is a `hidden beast` number, since 2 + 52 + 1 + 4 + 53 + 31 + 523 = 666.

It is not a de Polignac number, because 252145331523 - 2¹⁷ = 252145200451 is a prime.

It is not an unprimeable number, because it can be changed into a prime (252145331573) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11512543 + ... + 11534423.

It is an arithmetic number, because the mean of its divisors is an integer number (7987805280).

Almost surely, 2^252145331523 is an apocalyptic number.

252145331523 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

252145331523 is a deficient number, since it is larger than the sum of its proper divisors (131269321917).

252145331523 is a wasteful number, since it uses less digits than its factorization.

252145331523 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22400 (or 22397 counting only the distinct ones).

The product of its digits is 108000, while the sum is 36.

Adding to 252145331523 its reverse (325133541252), we get a palindrome (577278872775).

The spelling of 252145331523 in words is "two hundred fifty-two billion, one hundred forty-five million, three hundred thirty-one thousand, five hundred twenty-three".