525564465525 has 48 divisors (see below), whose sum is σ = 1053252438720. Its totient is φ = 254819131200.

The previous prime is 525564465499. The next prime is 525564465527.

It is a happy number.

525564465525 is a `hidden beast` number, since 5 + 2 + 5 + 56 + 4 + 4 + 65 + 525 = 666.

525564465525 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 525564465525 - 2⁵ = 525564465493 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (525564465527) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 35384122 + ... + 35398971.

It is an arithmetic number, because the mean of its divisors is an integer number (21942759140).

Almost surely, 2^525564465525 is an apocalyptic number.

525564465525 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

525564465525 is an abundant number, since it is smaller than the sum of its proper divisors (527687973195).

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

525564465525 is a wasteful number, since it uses less digits than its factorization.

525564465525 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70783123 (or 70783112 counting only the distinct ones).

The product of its digits is 36000000, while the sum is 54.

The spelling of 525564465525 in words is "five hundred twenty-five billion, five hundred sixty-four million, four hundred sixty-five thousand, five hundred twenty-five".