252203234304 has 176 divisors, whose sum is σ = 769308583808. Its totient is φ = 71958233088.

The previous prime is 252203234291. The next prime is 252203234333. The reversal of 252203234304 is 403432302252.

It is a happy number.

252203234304 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16270782 + ... + 16286274.

Almost surely, 2^252203234304 is an apocalyptic number.

252203234304 is a gapful number since it is divisible by the number (24) 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 252203234304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (384654291904).

252203234304 is an abundant number, since it is smaller than the sum of its proper divisors (517105349504).

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

252203234304 is a wasteful number, since it uses less digits than its factorization.

252203234304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16280 (or 16262 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 30.

Adding to 252203234304 its reverse (403432302252), we get a palindrome (655635536556).

The spelling of 252203234304 in words is "two hundred fifty-two billion, two hundred three million, two hundred thirty-four thousand, three hundred four".