252235212032 has 72 divisors (see below), whose sum is σ = 515231304840. Its totient is φ = 123196170240.

The previous prime is 252235212011. The next prime is 252235212043. The reversal of 252235212032 is 230212532252.

It can be written as a sum of positive squares in 4 ways, for example, as 138574529536 + 113660682496 = 372256^2 + 337136^2 .

It is a super-4 number, since 4×252235212032⁴ (a number of 47 digits) contains 4444 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 252235211986 and 252235212004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3066482 + ... + 3147662.

It is an arithmetic number, because the mean of its divisors is an integer number (7155990345).

Almost surely, 2^252235212032 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 252235212032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257615652420).

252235212032 is an abundant number, since it is smaller than the sum of its proper divisors (262996092808).

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

252235212032 is an equidigital number, since it uses as much as digits as its factorization.

252235212032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81479 (or 81465 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 29.

Adding to 252235212032 its reverse (230212532252), we get a palindrome (482447744284).

The spelling of 252235212032 in words is "two hundred fifty-two billion, two hundred thirty-five million, two hundred twelve thousand, thirty-two".