10513433520 has 120 divisors (see below), whose sum is σ = 35348258400. Its totient is φ = 2800355328.

The previous prime is 10513433503. The next prime is 10513433521. The reversal of 10513433520 is 2533431501.

10513433520 is a `hidden beast` number, since 1 + 0 + 5 + 134 + 3 + 3 + 520 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×10513433520² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10513433521) 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, 653736 + ... + 669624.

It is an arithmetic number, because the mean of its divisors is an integer number (294568820).

Almost surely, 2^10513433520 is an apocalyptic number.

10513433520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10513433520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17674129200).

10513433520 is an abundant number, since it is smaller than the sum of its proper divisors (24834824880).

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

10513433520 is a wasteful number, since it uses less digits than its factorization.

10513433520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16827 (or 16818 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

The spelling of 10513433520 in words is "ten billion, five hundred thirteen million, four hundred thirty-three thousand, five hundred twenty".