10513578504 has 128 divisors (see below), whose sum is σ = 31632612480. Its totient is φ = 2869094400.

The previous prime is 10513578469. The next prime is 10513578529. The reversal of 10513578504 is 40587531501.

It is a super-2 number, since 2×10513578504² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 103354 + ... + 178070.

It is an arithmetic number, because the mean of its divisors is an integer number (247129785).

Almost surely, 2^10513578504 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10513578504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15816306240).

10513578504 is an abundant number, since it is smaller than the sum of its proper divisors (21119033976).

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

10513578504 is a wasteful number, since it uses less digits than its factorization.

10513578504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74791 (or 74787 counting only the distinct ones).

The product of its (nonzero) digits is 84000, while the sum is 39.

The spelling of 10513578504 in words is "ten billion, five hundred thirteen million, five hundred seventy-eight thousand, five hundred four".