52321322312325 has 288 divisors, whose sum is σ = 105531714288000. Its totient is φ = 24556620441600.

The previous prime is 52321322312321. The next prime is 52321322312341.

52321322312325 is a `hidden beast` number, since 5 + 2 + 3 + 2 + 1 + 322 + 3 + 1 + 2 + 325 = 666.

52321322312325 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 52321322312325 - 2² = 52321322312321 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 52321322312325.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52321322312321) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 19032855051 + ... + 19032857799.

It is an arithmetic number, because the mean of its divisors is an integer number (366429563500).

Almost surely, 2^{52321322312325} is an apocalyptic number.

52321322312325 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

52321322312325 is an abundant number, since it is smaller than the sum of its proper divisors (53210391975675).

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

52321322312325 is a wasteful number, since it uses less digits than its factorization.

52321322312325 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3797 (or 3789 counting only the distinct ones).

The product of its digits is 129600, while the sum is 36.

It can be divided in two parts, 5232132 and 2312325, that added together give a palindrome (7544457).

The spelling of 52321322312325 in words is "fifty-two trillion, three hundred twenty-one billion, three hundred twenty-two million, three hundred twelve thousand, three hundred twenty-five".