252242242252 has 96 divisors (see below), whose sum is σ = 627544834560. Its totient is φ = 85380203520.

The previous prime is 252242242247. The next prime is 252242242261.

252242242252 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×252242242252² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (34).

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, 1784802 + ... + 1920937.

It is an arithmetic number, because the mean of its divisors is an integer number (6536925360).

Almost surely, 2^252242242252 is an apocalyptic number.

252242242252 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

252242242252 is an abundant number, since it is smaller than the sum of its proper divisors (375302592308).

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

252242242252 is a wasteful number, since it uses less digits than its factorization.

252242242252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3705791 (or 3705789 counting only the distinct ones).

The product of its digits is 102400, while the sum is 34.

It can be divided in two parts, 252242 and 242252, that added together give a palindrome (494494).

The spelling of 252242242252 in words is "two hundred fifty-two billion, two hundred forty-two million, two hundred forty-two thousand, two hundred fifty-two".