10513086304 has 48 divisors (see below), whose sum is σ = 23701724928. Its totient is φ = 4496602752.

The previous prime is 10513086257. The next prime is 10513086319. The reversal of 10513086304 is 40368031501.

It is a super-2 number, since 2×10513086304² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 66019 + ... + 159325.

It is an arithmetic number, because the mean of its divisors is an integer number (493785936).

Almost surely, 2^10513086304 is an apocalyptic number.

10513086304 is a gapful number since it is divisible by the number (14) 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 10513086304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11850862464).

10513086304 is an abundant number, since it is smaller than the sum of its proper divisors (13188638624).

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

10513086304 is an equidigital number, since it uses as much as digits as its factorization.

10513086304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93827 (or 93819 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 31.

The spelling of 10513086304 in words is "ten billion, five hundred thirteen million, eighty-six thousand, three hundred four".