253234404432352 has 36 divisors (see below), whose sum is σ = 579952006583040. Its totient is φ = 108529030470336.

The previous prime is 253234404432337. The next prime is 253234404432389.

253234404432352 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 80750765152 + ... + 80750768287.

It is an arithmetic number, because the mean of its divisors is an integer number (16109777960640).

Almost surely, 2^{253234404432352} is an apocalyptic number.

It is an amenable number.

253234404432352 is an abundant number, since it is smaller than the sum of its proper divisors (326717602150688).

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

253234404432352 is a wasteful number, since it uses less digits than its factorization.

253234404432352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161501533463 (or 161501533448 counting only the distinct ones).

The product of its (nonzero) digits is 8294400, while the sum is 46.

It can be divided in two parts, 25323440 and 4432352, that added together give a palindrome (29755792).

The spelling of 253234404432352 in words is "two hundred fifty-three trillion, two hundred thirty-four billion, four hundred four million, four hundred thirty-two thousand, three hundred fifty-two".