252463364252 has 96 divisors (see below), whose sum is σ = 505980518400. Its totient is φ = 109178596800.

The previous prime is 252463364249. The next prime is 252463364281.

It is a happy number.

252463364252 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 25748783 + ... + 25758585.

It is an arithmetic number, because the mean of its divisors is an integer number (5270630400).

Almost surely, 2^252463364252 is an apocalyptic number.

252463364252 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

252463364252 is an abundant number, since it is smaller than the sum of its proper divisors (253517154148).

252463364252 is a wasteful number, since it uses less digits than its factorization.

252463364252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10167 (or 10165 counting only the distinct ones).

The product of its digits is 2073600, while the sum is 44.

The spelling of 252463364252 in words is "two hundred fifty-two billion, four hundred sixty-three million, three hundred sixty-four thousand, two hundred fifty-two".