253314401302053 has 128 divisors (see below), whose sum is σ = 471964747161600. Its totient is φ = 130728848140800.

The previous prime is 253314401302031. The next prime is 253314401302229. The reversal of 253314401302053 is 350203104413352.

253314401302053 is a `hidden beast` number, since 2 + 5 + 3 + 3 + 1 + 440 + 1 + 3 + 0 + 205 + 3 = 666.

It is not a de Polignac number, because 253314401302053 - 2²⁰ = 253314400253477 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 253314401301999 and 253314401302017.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (253314401306053) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 17310193 + ... + 28394921.

It is an arithmetic number, because the mean of its divisors is an integer number (3687224587200).

Almost surely, 2^{253314401302053} is an apocalyptic number.

It is an amenable number.

253314401302053 is a deficient number, since it is larger than the sum of its proper divisors (218650345859547).

253314401302053 is a wasteful number, since it uses less digits than its factorization.

253314401302053 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11084960 (or 11084954 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 36.

The spelling of 253314401302053 in words is "two hundred fifty-three trillion, three hundred fourteen billion, four hundred one million, three hundred two thousand, fifty-three".