10580803013 has 24 divisors (see below), whose sum is σ = 11968276320. Its totient is φ = 9340293600.

The previous prime is 10580802977. The next prime is 10580803021. The reversal of 10580803013 is 31030808501.

It is not a de Polignac number, because 10580803013 - 2²² = 10576608709 is a prime.

It is a super-2 number, since 2×10580803013² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10580803913) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2554298 + ... + 2558436.

It is an arithmetic number, because the mean of its divisors is an integer number (498678180).

Almost surely, 2^10580803013 is an apocalyptic number.

It is an amenable number.

10580803013 is a deficient number, since it is larger than the sum of its proper divisors (1387473307).

10580803013 is a wasteful number, since it uses less digits than its factorization.

10580803013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4769 (or 4758 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 29.

The spelling of 10580803013 in words is "ten billion, five hundred eighty million, eight hundred three thousand, thirteen".