253561243264 has 64 divisors (see below), whose sum is σ = 595927411200. Its totient is φ = 105163637760.

The previous prime is 253561243241. The next prime is 253561243283. The reversal of 253561243264 is 462342165352.

253561243264 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 253561243264.

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, 4536619 + ... + 4592170.

It is an arithmetic number, because the mean of its divisors is an integer number (9311365800).

Almost surely, 2^253561243264 is an apocalyptic number.

It is an amenable number.

253561243264 is an abundant number, since it is smaller than the sum of its proper divisors (342366167936).

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

253561243264 is an equidigital number, since it uses as much as digits as its factorization.

253561243264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9128841 (or 9128829 counting only the distinct ones).

The product of its digits is 1036800, while the sum is 43.

The spelling of 253561243264 in words is "two hundred fifty-three billion, five hundred sixty-one million, two hundred forty-three thousand, two hundred sixty-four".