11505875 has 16 divisors (see below), whose sum is σ = 14545440. Its totient is φ = 9085600.

The previous prime is 11505869. The next prime is 11505877. The reversal of 11505875 is 57850511.

It is a happy number.

It is not a de Polignac number, because 11505875 - 2⁴ = 11505859 is a prime.

It is not an unprimeable number, because it can be changed into a prime (11505877) 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 15 ways as a sum of consecutive naturals, for example, 9821 + ... + 10929.

It is an arithmetic number, because the mean of its divisors is an integer number (909090).

Almost surely, 2^11505875 is an apocalyptic number.

11505875 is a deficient number, since it is larger than the sum of its proper divisors (3039565).

11505875 is an equidigital number, since it uses as much as digits as its factorization.

11505875 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1207 (or 1197 counting only the distinct ones).

The product of its (nonzero) digits is 7000, while the sum is 32.

The square root of 11505875 is about 3392.0311024517. The cubic root of 11505875 is about 225.7563026937.

The spelling of 11505875 in words is "eleven million, five hundred five thousand, eight hundred seventy-five".