13536517125 has 32 divisors (see below), whose sum is σ = 22608668160. Its totient is φ = 7192584000.

The previous prime is 13536517117. The next prime is 13536517139. The reversal of 13536517125 is 52171563531.

13536517125 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 13536517125 - 2³ = 13536517117 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 33780 + ... + 167970.

It is an arithmetic number, because the mean of its divisors is an integer number (706520880).

Almost surely, 2^13536517125 is an apocalyptic number.

13536517125 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

13536517125 is a deficient number, since it is larger than the sum of its proper divisors (9072151035).

13536517125 is a wasteful number, since it uses less digits than its factorization.

13536517125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134478 (or 134468 counting only the distinct ones).

The product of its digits is 94500, while the sum is 39.

The spelling of 13536517125 in words is "thirteen billion, five hundred thirty-six million, five hundred seventeen thousand, one hundred twenty-five".