10513835832 has 32 divisors (see below), whose sum is σ = 26331310080. Its totient is φ = 3498382560.

The previous prime is 10513835821. The next prime is 10513835881. The reversal of 10513835832 is 23853831501.

10513835832 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 2×10513835832² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 375544 + ... + 402567.

It is an arithmetic number, because the mean of its divisors is an integer number (822853440).

Almost surely, 2^10513835832 is an apocalyptic number.

10513835832 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10513835832 is an abundant number, since it is smaller than the sum of its proper divisors (15817474248).

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

10513835832 is a wasteful number, since it uses less digits than its factorization.

10513835832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 778683 (or 778679 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 39.

The spelling of 10513835832 in words is "ten billion, five hundred thirteen million, eight hundred thirty-five thousand, eight hundred thirty-two".