52133544533125 has 80 divisors (see below), whose sum is σ = 72407528424000. Its totient is φ = 37207034240000.

The previous prime is 52133544533069. The next prime is 52133544533129.

52133544533125 is nontrivially palindromic in base 10.

52133544533125 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 52133544533125 - 2⁹ = 52133544532613 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52133544533129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 84716541 + ... + 85329709.

It is an arithmetic number, because the mean of its divisors is an integer number (905094105300).

Almost surely, 2^{52133544533125} is an apocalyptic number.

52133544533125 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

52133544533125 is a deficient number, since it is larger than the sum of its proper divisors (20273983890875).

52133544533125 is a wasteful number, since it uses less digits than its factorization.

52133544533125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 613432 (or 613417 counting only the distinct ones).

The product of its digits is 3240000, while the sum is 46.

It can be divided in two parts, 5213354 and 4533125, that added together give a palindrome (9746479).

The spelling of 52133544533125 in words is "fifty-two trillion, one hundred thirty-three billion, five hundred forty-four million, five hundred thirty-three thousand, one hundred twenty-five".