252232232252 has 96 divisors (see below), whose sum is σ = 594799726080. Its totient is φ = 90385009920.

The previous prime is 252232232137. The next prime is 252232232257.

It is a happy number.

252232232252 is nontrivially palindromic in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252232232257) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 995399 + ... + 1222817.

It is an arithmetic number, because the mean of its divisors is an integer number (6195830480).

Almost surely, 2^252232232252 is an apocalyptic number.

252232232252 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 252232232252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (297399863040).

252232232252 is an abundant number, since it is smaller than the sum of its proper divisors (342567493828).

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

252232232252 is a wasteful number, since it uses less digits than its factorization.

252232232252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 227731 (or 227729 counting only the distinct ones).

The product of its digits is 57600, while the sum is 32.

It can be divided in two parts, 252232 and 232252, that added together give a palindrome (484484).

The spelling of 252232232252 in words is "two hundred fifty-two billion, two hundred thirty-two million, two hundred thirty-two thousand, two hundred fifty-two".