52153355335125 has 128 divisors (see below), whose sum is σ = 95928593080320. Its totient is φ = 24951382560000.

The previous prime is 52153355335117. The next prime is 52153355335127.

52153355335125 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 52153355335125 - 2³ = 52153355335117 is a prime.

It is a super-2 number, since 2×52153355335125² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52153355335127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 551659110 + ... + 551753640.

It is an arithmetic number, because the mean of its divisors is an integer number (749442133440).

Almost surely, 2^{52153355335125} is an apocalyptic number.

52153355335125 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

52153355335125 is a deficient number, since it is larger than the sum of its proper divisors (43775237745195).

52153355335125 is a wasteful number, since it uses less digits than its factorization.

52153355335125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96332 (or 96322 counting only the distinct ones).

The product of its digits is 5062500, while the sum is 48.

The spelling of 52153355335125 in words is "fifty-two trillion, one hundred fifty-three billion, three hundred fifty-five million, three hundred thirty-five thousand, one hundred twenty-five".