523331011125 has 96 divisors (see below), whose sum is σ = 1075722796512. Its totient is φ = 242484480000.

The previous prime is 523331011067. The next prime is 523331011163. The reversal of 523331011125 is 521110133325.

523331011125 is a `hidden beast` number, since 5 + 233 + 310 + 1 + 112 + 5 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 210455232516 + 312875778609 = 458754^2 + 559353^2 .

It is not a de Polignac number, because 523331011125 - 2⁸ = 523331010869 is a prime.

It is a super-2 number, since 2×523331011125² (a number of 24 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, 803826 + ... + 1301075.

It is an arithmetic number, because the mean of its divisors is an integer number (11205445797).

Almost surely, 2^523331011125 is an apocalyptic number.

It is an amenable number.

523331011125 is an abundant number, since it is smaller than the sum of its proper divisors (552391785387).

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

523331011125 is a wasteful number, since it uses less digits than its factorization.

523331011125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2104952 (or 2104939 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 27.

The spelling of 523331011125 in words is "five hundred twenty-three billion, three hundred thirty-one million, eleven thousand, one hundred twenty-five".