11563875 has 48 divisors (see below), whose sum is σ = 21983520. Its totient is φ = 5832000.

The previous prime is 11563829. The next prime is 11563879. The reversal of 11563875 is 57836511.

11563875 is a `hidden beast` number, since 1 + 15 + 638 + 7 + 5 = 666.

11563875 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 11563875 - 2¹¹ = 11561827 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11563879) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 21105 + ... + 21645.

It is an arithmetic number, because the mean of its divisors is an integer number (457990).

Almost surely, 2^11563875 is an apocalyptic number.

11563875 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

11563875 is a deficient number, since it is larger than the sum of its proper divisors (10419645).

11563875 is a wasteful number, since it uses less digits than its factorization.

11563875 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 581 (or 568 counting only the distinct ones).

The product of its digits is 25200, while the sum is 36.

The square root of 11563875 is about 3400.5698051944. The cubic root of 11563875 is about 226.1350056123.

The spelling of 11563875 in words is "eleven million, five hundred sixty-three thousand, eight hundred seventy-five".