252336633252 has 96 divisors (see below), whose sum is σ = 645454656000. Its totient is φ = 76091942400.

The previous prime is 252336633223. The next prime is 252336633281.

252336633252 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (252336633223) and next prime (252336633281).

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, 66771499 + ... + 66775277.

It is an arithmetic number, because the mean of its divisors is an integer number (6723486000).

Almost surely, 2^252336633252 is an apocalyptic number.

252336633252 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 252336633252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (322727328000).

252336633252 is an abundant number, since it is smaller than the sum of its proper divisors (393118022748).

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

252336633252 is a wasteful number, since it uses less digits than its factorization.

252336633252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6137 (or 6135 counting only the distinct ones).

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

It can be divided in two parts, 252336 and 633252, that added together give a palindrome (885588).

The spelling of 252336633252 in words is "two hundred fifty-two billion, three hundred thirty-six million, six hundred thirty-three thousand, two hundred fifty-two".