252332404233252 has 192 divisors, whose sum is σ = 723068877275136. Its totient is φ = 66845979002880.

The previous prime is 252332404233229. The next prime is 252332404233253.

252332404233252 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×252332404233252² (a number of 30 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (252332404233253) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 128498013 + ... + 130446939.

It is an arithmetic number, because the mean of its divisors is an integer number (3765983735808).

Almost surely, 2^{252332404233252} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 252332404233252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (361534438637568).

252332404233252 is an abundant number, since it is smaller than the sum of its proper divisors (470736473041884).

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

252332404233252 is a wasteful number, since it uses less digits than its factorization.

252332404233252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1950306 (or 1950304 counting only the distinct ones).

The product of its (nonzero) digits is 2073600, while the sum is 42.

It can be divided in two parts, 25233240 and 4233252, that added together give a palindrome (29466492).

The spelling of 252332404233252 in words is "two hundred fifty-two trillion, three hundred thirty-two billion, four hundred four million, two hundred thirty-three thousand, two hundred fifty-two".