13185375 has 32 divisors (see below), whose sum is σ = 25079808. Its totient is φ = 6026400.

The previous prime is 13185349. The next prime is 13185377. The reversal of 13185375 is 57358131.

It is not a de Polignac number, because 13185375 - 2⁶ = 13185311 is a prime.

It is a super-2 number, since 2×13185375² = 347708227781250, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13185377) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 114 + ... + 5136.

It is an arithmetic number, because the mean of its divisors is an integer number (783744).

Almost surely, 2^13185375 is an apocalyptic number.

13185375 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

13185375 is a deficient number, since it is larger than the sum of its proper divisors (11894433).

13185375 is an equidigital number, since it uses as much as digits as its factorization.

13185375 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5048 (or 5038 counting only the distinct ones).

The product of its digits is 12600, while the sum is 33.

The square root of 13185375 is about 3631.1671677300. The cubic root of 13185375 is about 236.2458357095.

The spelling of 13185375 in words is "thirteen million, one hundred eighty-five thousand, three hundred seventy-five".