523386683325 has 96 divisors (see below), whose sum is σ = 1049244689280. Its totient is φ = 253676966400.

The previous prime is 523386683293. The next prime is 523386683329.

523386683325 is a `hidden beast` number, since 5 + 233 + 8 + 6 + 6 + 83 + 325 = 666.

523386683325 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 523386683325 - 2⁵ = 523386683293 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (523386683329) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 25479759 + ... + 25500291.

It is an arithmetic number, because the mean of its divisors is an integer number (10929632180).

Almost surely, 2^523386683325 is an apocalyptic number.

523386683325 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

523386683325 is an abundant number, since it is smaller than the sum of its proper divisors (525858005955).

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

523386683325 is a wasteful number, since it uses less digits than its factorization.

523386683325 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23996 (or 23985 counting only the distinct ones).

The product of its digits is 18662400, while the sum is 54.

The spelling of 523386683325 in words is "five hundred twenty-three billion, three hundred eighty-six million, six hundred eighty-three thousand, three hundred twenty-five".