253263363362352 has 160 divisors (see below), whose sum is σ = 859459689868800. Its totient is φ = 69865755386112.

The previous prime is 253263363362297. The next prime is 253263363362363.

253263363362352 is a `hidden beast` number, since 2 + 5 + 3 + 2 + 6 + 3 + 3 + 6 + 3 + 3 + 623 + 5 + 2 = 666.

253263363362352 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×253263363362352² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1443896998 + ... + 1444072389.

It is an arithmetic number, because the mean of its divisors is an integer number (5371623061680).

Almost surely, 2^{253263363362352} is an apocalyptic number.

It is an amenable number.

253263363362352 is an abundant number, since it is smaller than the sum of its proper divisors (606196326506448).

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

253263363362352 is a wasteful number, since it uses less digits than its factorization.

253263363362352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2887969440 (or 2887969428 counting only the distinct ones).

The product of its digits is 62985600, while the sum is 54.

The spelling of 253263363362352 in words is "two hundred fifty-three trillion, two hundred sixty-three billion, three hundred sixty-three million, three hundred sixty-two thousand, three hundred fifty-two".