10513135521 has 24 divisors (see below), whose sum is σ = 17517225024. Its totient is φ = 5951357280.

The previous prime is 10513135517. The next prime is 10513135541. The reversal of 10513135521 is 12553131501.

10513135521 is a `hidden beast` number, since 1 + 0 + 5 + 1 + 3 + 135 + 521 = 666.

10513135521 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10513135521 - 2² = 10513135517 is a prime.

It is a super-2 number, since 2×10513135521² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10513135511) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 773050 + ... + 786531.

It is an arithmetic number, because the mean of its divisors is an integer number (729884376).

Almost surely, 2^10513135521 is an apocalyptic number.

It is an amenable number.

10513135521 is a deficient number, since it is larger than the sum of its proper divisors (7004089503).

10513135521 is a wasteful number, since it uses less digits than its factorization.

10513135521 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1559701 (or 1559698 counting only the distinct ones).

The product of its (nonzero) digits is 2250, while the sum is 27.

The spelling of 10513135521 in words is "ten billion, five hundred thirteen million, one hundred thirty-five thousand, five hundred twenty-one".