10513819305 has 64 divisors (see below), whose sum is σ = 20406608640. Its totient is φ = 5093568000.

The previous prime is 10513819247. The next prime is 10513819307. The reversal of 10513819305 is 50391831501.

It is not a de Polignac number, because 10513819305 - 2⁶ = 10513819241 is a prime.

It is a super-2 number, since 2×10513819305² (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10513819305.

It is not an unprimeable number, because it can be changed into a prime (10513819307) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2838955 + ... + 2842655.

It is an arithmetic number, because the mean of its divisors is an integer number (318853260).

Almost surely, 2^10513819305 is an apocalyptic number.

10513819305 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10513819305 is a deficient number, since it is larger than the sum of its proper divisors (9892789335).

10513819305 is a wasteful number, since it uses less digits than its factorization.

10513819305 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5639 (or 5633 counting only the distinct ones).

The product of its (nonzero) digits is 16200, while the sum is 36.

The spelling of 10513819305 in words is "ten billion, five hundred thirteen million, eight hundred nineteen thousand, three hundred five".