10513265525 has 48 divisors (see below), whose sum is σ = 15083225088. Its totient is φ = 7120440000.

The previous prime is 10513265509. The next prime is 10513265593. The reversal of 10513265525 is 52556231501.

It is not a de Polignac number, because 10513265525 - 2⁴ = 10513265509 is a prime.

It is a super-2 number, since 2×10513265525² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5046134 + ... + 5048216.

It is an arithmetic number, because the mean of its divisors is an integer number (314233856).

Almost surely, 2^10513265525 is an apocalyptic number.

It is an amenable number.

10513265525 is a deficient number, since it is larger than the sum of its proper divisors (4569959563).

10513265525 is a wasteful number, since it uses less digits than its factorization.

10513265525 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2442 (or 2437 counting only the distinct ones).

The product of its (nonzero) digits is 45000, while the sum is 35.

The spelling of 10513265525 in words is "ten billion, five hundred thirteen million, two hundred sixty-five thousand, five hundred twenty-five".