10513135524 has 48 divisors (see below), whose sum is σ = 25737130496. Its totient is φ = 3335731200.

The previous prime is 10513135517. The next prime is 10513135541. The reversal of 10513135524 is 42553131501.

10513135524 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10513135524² (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10513135491 and 10513135500.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 208957 + ... + 254340.

Almost surely, 2^10513135524 is an apocalyptic number.

It is an amenable number.

10513135524 is an abundant number, since it is smaller than the sum of its proper divisors (15223994972).

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

10513135524 is a wasteful number, since it uses less digits than its factorization.

10513135524 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 463396 (or 463394 counting only the distinct ones).

The product of its (nonzero) digits is 9000, while the sum is 30.

The spelling of 10513135524 in words is "ten billion, five hundred thirteen million, one hundred thirty-five thousand, five hundred twenty-four".