253342243352 has 64 divisors (see below), whose sum is σ = 527652921600. Its totient is φ = 113059891840.

The previous prime is 253342243321. The next prime is 253342243379.

253342243352 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 15 ways as a sum of consecutive naturals, for example, 4107413 + ... + 4168635.

It is an arithmetic number, because the mean of its divisors is an integer number (8244576900).

Almost surely, 2^253342243352 is an apocalyptic number.

253342243352 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 253342243352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263826460800).

253342243352 is an abundant number, since it is smaller than the sum of its proper divisors (274310678248).

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

253342243352 is a wasteful number, since it uses less digits than its factorization.

253342243352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62096 (or 62092 counting only the distinct ones).

The product of its digits is 518400, while the sum is 38.

It can be divided in two parts, 253342 and 243352, that added together give a palindrome (496694).

The spelling of 253342243352 in words is "two hundred fifty-three billion, three hundred forty-two million, two hundred forty-three thousand, three hundred fifty-two".