52333100133325 has 96 divisors (see below), whose sum is σ = 72529893504000. Its totient is φ = 37136360640000.

The previous prime is 52333100133277. The next prime is 52333100133439.

52333100133325 is nontrivially palindromic in base 10.

It is a de Polignac number, because none of the positive numbers 2^k-52333100133325 is a prime.

It is a super-2 number, since 2×52333100133325² (a number of 28 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 95 ways as a sum of consecutive naturals, for example, 3143309601 + ... + 3143326249.

It is an arithmetic number, because the mean of its divisors is an integer number (755519724000).

Almost surely, 2^{52333100133325} is an apocalyptic number.

52333100133325 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

52333100133325 is a deficient number, since it is larger than the sum of its proper divisors (20196793370675).

52333100133325 is a wasteful number, since it uses less digits than its factorization.

52333100133325 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18163 (or 18158 counting only the distinct ones).

The product of its (nonzero) digits is 72900, while the sum is 34.

It can be divided in two parts, 52333100 and 133325, that added together give a palindrome (52466425).

The spelling of 52333100133325 in words is "fifty-two trillion, three hundred thirty-three billion, one hundred million, one hundred thirty-three thousand, three hundred twenty-five".