11513503332 has 72 divisors (see below), whose sum is σ = 29777529600. Its totient is φ = 3749263488.

The previous prime is 11513503319. The next prime is 11513503363. The reversal of 11513503332 is 23330531511.

11513503332 is a `hidden beast` number, since 1 + 151 + 3 + 503 + 3 + 3 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 11513503296 and 11513503305.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 956769 + ... + 968727.

It is an arithmetic number, because the mean of its divisors is an integer number (413576800).

Almost surely, 2^11513503332 is an apocalyptic number.

11513503332 is a gapful number since it is divisible by the number (12) 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 11513503332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14888764800).

11513503332 is an abundant number, since it is smaller than the sum of its proper divisors (18264026268).

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

11513503332 is a wasteful number, since it uses less digits than its factorization.

11513503332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12585 (or 12580 counting only the distinct ones).

The product of its (nonzero) digits is 4050, while the sum is 27.

The spelling of 11513503332 in words is "eleven billion, five hundred thirteen million, five hundred three thousand, three hundred thirty-two".