252420024252 has 48 divisors (see below), whose sum is σ = 643206824064. Its totient is φ = 76409592000.

The previous prime is 252420024209. The next prime is 252420024253.

252420024252 is nontrivially palindromic in base 10.

252420024252 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252420024253) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 891874 + ... + 1140297.

It is an arithmetic number, because the mean of its divisors is an integer number (13400142168).

Almost surely, 2^252420024252 is an apocalyptic number.

252420024252 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

252420024252 is an abundant number, since it is smaller than the sum of its proper divisors (390786799812).

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

252420024252 is a wasteful number, since it uses less digits than its factorization.

252420024252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2033130 (or 2033128 counting only the distinct ones).

The product of its (nonzero) digits is 25600, while the sum is 30.

It can be divided in two parts, 2524200 and 24252, that added together give a palindrome (2548452).

The spelling of 252420024252 in words is "two hundred fifty-two billion, four hundred twenty million, twenty-four thousand, two hundred fifty-two".