253561253664 has 48 divisors (see below), whose sum is σ = 665691052320. Its totient is φ = 84508638720.

The previous prime is 253561253657. The next prime is 253561253681. The reversal of 253561253664 is 466352165352.

It is a happy number.

253561253664 is digitally balanced in base 2, 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 (48).

It is a Harshad number since it is a multiple of its sum of digits (48).

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 7 ways as a sum of consecutive naturals, for example, 522427 + ... + 883205.

It is an arithmetic number, because the mean of its divisors is an integer number (13868563590).

Almost surely, 2^253561253664 is an apocalyptic number.

253561253664 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

253561253664 is an abundant number, since it is smaller than the sum of its proper divisors (412129798656).

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

253561253664 is a wasteful number, since it uses less digits than its factorization.

253561253664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 368113 (or 368105 counting only the distinct ones).

The product of its digits is 3888000, while the sum is 48.

The spelling of 253561253664 in words is "two hundred fifty-three billion, five hundred sixty-one million, two hundred fifty-three thousand, six hundred sixty-four".