253005315001152 has 112 divisors (see below), whose sum is σ = 770624114344320. Its totient is φ = 71759588769792.

The previous prime is 253005315001133. The next prime is 253005315001177. The reversal of 253005315001152 is 251100513500352.

It is a happy number.

253005315001152 is digitally balanced in base 2 and base 4, because in such bases 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 (112).

It is a super-2 number, since 2×253005315001152² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 686852377 + ... + 687220632.

Almost surely, 2^{253005315001152} is an apocalyptic number.

It is an amenable number.

253005315001152 is an abundant number, since it is smaller than the sum of its proper divisors (517618799343168).

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

253005315001152 is a wasteful number, since it uses less digits than its factorization.

253005315001152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1374073168 (or 1374073158 counting only the distinct ones).

The product of its (nonzero) digits is 22500, while the sum is 33.

The spelling of 253005315001152 in words is "two hundred fifty-three trillion, five billion, three hundred fifteen million, one thousand, one hundred fifty-two".