10513365504 has 160 divisors (see below), whose sum is σ = 29603819520. Its totient is φ = 3308777472.

The previous prime is 10513365449. The next prime is 10513365517. The reversal of 10513365504 is 40556331501.

It is a super-2 number, since 2×10513365504² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2789029 + ... + 2792795.

It is an arithmetic number, because the mean of its divisors is an integer number (185023872).

Almost surely, 2^10513365504 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 10513365504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14801909760).

10513365504 is an abundant number, since it is smaller than the sum of its proper divisors (19090454016).

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

10513365504 is an equidigital number, since it uses as much as digits as its factorization.

10513365504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3890 (or 3874 counting only the distinct ones).

The product of its (nonzero) digits is 27000, while the sum is 33.

The spelling of 10513365504 in words is "ten billion, five hundred thirteen million, three hundred sixty-five thousand, five hundred four".