10164515525 has 24 divisors (see below), whose sum is σ = 12762743400. Its totient is φ = 8029840640.

The previous prime is 10164515503. The next prime is 10164515527. The reversal of 10164515525 is 52551546101.

It can be written as a sum of positive squares in 12 ways, for example, as 2079268801 + 8085246724 = 45599^2 + 89918^2 .

It is not a de Polignac number, because 10164515525 - 2⁸ = 10164515269 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10164515527) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 636539 + ... + 652311.

It is an arithmetic number, because the mean of its divisors is an integer number (531780975).

Almost surely, 2^10164515525 is an apocalyptic number.

It is an amenable number.

10164515525 is a deficient number, since it is larger than the sum of its proper divisors (2598227875).

10164515525 is a wasteful number, since it uses less digits than its factorization.

10164515525 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16105 (or 16100 counting only the distinct ones).

The product of its (nonzero) digits is 30000, while the sum is 35.

The spelling of 10164515525 in words is "ten billion, one hundred sixty-four million, five hundred fifteen thousand, five hundred twenty-five".