252363363252 has 96 divisors (see below), whose sum is σ = 790620923904. Its totient is φ = 60506697600.

The previous prime is 252363363247. The next prime is 252363363269.

252363363252 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×252363363252² (a number of 24 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10492624 + ... + 10516647.

It is an arithmetic number, because the mean of its divisors is an integer number (8235634624).

Almost surely, 2^252363363252 is an apocalyptic number.

252363363252 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

252363363252 is an abundant number, since it is smaller than the sum of its proper divisors (538257560652).

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

252363363252 is a wasteful number, since it uses less digits than its factorization.

252363363252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21009309 (or 21009307 counting only the distinct ones).

The product of its digits is 1166400, while the sum is 42.

The spelling of 252363363252 in words is "two hundred fifty-two billion, three hundred sixty-three million, three hundred sixty-three thousand, two hundred fifty-two".