253315513352 has 32 divisors (see below), whose sum is σ = 521324203680. Its totient is φ = 114437007360.

The previous prime is 253315513351. The next prime is 253315513369.

253315513352 is nontrivially palindromic in base 10.

It is not an unprimeable number, because it can be changed into a prime (253315513351) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8815673 + ... + 8844360.

It is an arithmetic number, because the mean of its divisors is an integer number (16291381365).

Almost surely, 2^253315513352 is an apocalyptic number.

253315513352 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

253315513352 is an abundant number, since it is smaller than the sum of its proper divisors (268008690328).

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

253315513352 is a wasteful number, since it uses less digits than its factorization.

253315513352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17660213 (or 17660209 counting only the distinct ones).

The product of its digits is 202500, while the sum is 38.

It can be divided in two parts, 253315 and 513352, that added together give a palindrome (766667).

The spelling of 253315513352 in words is "two hundred fifty-three billion, three hundred fifteen million, five hundred thirteen thousand, three hundred fifty-two".