13505133500 has 96 divisors (see below), whose sum is σ = 31805766720. Its totient is φ = 4992768000.

The previous prime is 13505133487. The next prime is 13505133547. The reversal of 13505133500 is 533150531.

It is a self number, because there is not a number n which added to its sum of digits gives 13505133500.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 372164 + ... + 406836.

It is an arithmetic number, because the mean of its divisors is an integer number (331310070).

Almost surely, 2^13505133500 is an apocalyptic number.

13505133500 is a gapful number since it is divisible by the number (10) 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 13505133500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15902883360).

13505133500 is an abundant number, since it is smaller than the sum of its proper divisors (18300633220).

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

13505133500 is a wasteful number, since it uses less digits than its factorization.

13505133500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34752 (or 34740 counting only the distinct ones).

The product of its (nonzero) digits is 3375, while the sum is 26.

The spelling of 13505133500 in words is "thirteen billion, five hundred five million, one hundred thirty-three thousand, five hundred".