10513409004 has 144 divisors (see below), whose sum is σ = 32202643200. Its totient is φ = 2825083008.

The previous prime is 10513408967. The next prime is 10513409009. The reversal of 10513409004 is 40090431501.

It is a super-2 number, since 2×10513409004² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10513409009) 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 47 ways as a sum of consecutive naturals, for example, 657634 + ... + 673430.

Almost surely, 2^10513409004 is an apocalyptic number.

10513409004 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 10513409004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16101321600).

10513409004 is an abundant number, since it is smaller than the sum of its proper divisors (21689234196).

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

10513409004 is a wasteful number, since it uses less digits than its factorization.

10513409004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15972 (or 15967 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The spelling of 10513409004 in words is "ten billion, five hundred thirteen million, four hundred nine thousand, four".