523213121312325 has 144 divisors (see below), whose sum is σ = 959096248411392. Its totient is φ = 272532556800000.

The previous prime is 523213121312303. The next prime is 523213121312327.

523213121312325 is a `hidden beast` number, since 5 + 2 + 3 + 2 + 1 + 3 + 12 + 1 + 312 + 325 = 666.

523213121312325 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 523213121312325 - 2¹¹ = 523213121310277 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 523213121312325.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (523213121312327) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 15069050965 + ... + 15069085685.

It is an arithmetic number, because the mean of its divisors is an integer number (6660390613968).

Almost surely, 2^{523213121312325} is an apocalyptic number.

It is an amenable number.

523213121312325 is a deficient number, since it is larger than the sum of its proper divisors (435883127099067).

523213121312325 is a wasteful number, since it uses less digits than its factorization.

523213121312325 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37756 (or 37748 counting only the distinct ones).

The product of its digits is 64800, while the sum is 36.

The spelling of 523213121312325 in words is "five hundred twenty-three trillion, two hundred thirteen billion, one hundred twenty-one million, three hundred twelve thousand, three hundred twenty-five".