13520409375 has 96 divisors (see below), whose sum is σ = 25160889600. Its totient is φ = 6400800000.

The previous prime is 13520409359. The next prime is 13520409391. The reversal of 13520409375 is 57390402531.

It is a happy number.

13520409375 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (13520409359) and next prime (13520409391).

It is not a de Polignac number, because 13520409375 - 2⁴ = 13520409359 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 95 ways as a sum of consecutive naturals, for example, 4432851 + ... + 4435899.

It is an arithmetic number, because the mean of its divisors is an integer number (262092600).

Almost surely, 2^13520409375 is an apocalyptic number.

13520409375 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

13520409375 is a deficient number, since it is larger than the sum of its proper divisors (11640480225).

13520409375 is an equidigital number, since it uses as much as digits as its factorization.

13520409375 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3131 (or 3111 counting only the distinct ones).

The product of its (nonzero) digits is 113400, while the sum is 39.

The spelling of 13520409375 in words is "thirteen billion, five hundred twenty million, four hundred nine thousand, three hundred seventy-five".