13575825 has 18 divisors (see below), whose sum is σ = 24316214. Its totient is φ = 7240320.

The previous prime is 13575817. The next prime is 13575833. The reversal of 13575825 is 52857531.

13575825 is a `hidden beast` number, since 1 + 3 + 575 + 82 + 5 = 666.

13575825 is digitally balanced in base 2 and base 4, because in such bases 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 (13575817) and next prime (13575833).

It can be written as a sum of positive squares in 3 ways, for example, as 3969 + 13571856 = 63^2 + 3684^2 .

It is not a de Polignac number, because 13575825 - 2³ = 13575817 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 13575825.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 29944 + ... + 30393.

Almost surely, 2^13575825 is an apocalyptic number.

13575825 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

13575825 is a deficient number, since it is larger than the sum of its proper divisors (10740389).

13575825 is a wasteful number, since it uses less digits than its factorization.

13575825 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60353 (or 60345 counting only the distinct ones).

The product of its digits is 42000, while the sum is 36.

The square root of 13575825 is about 3684.5386414041. The cubic root of 13575825 is about 238.5551208911. Note that the first 3 decimals are identical.

It can be divided in two parts, 13575 and 825, that added together give a square (14400 = 120²).

The spelling of 13575825 in words is "thirteen million, five hundred seventy-five thousand, eight hundred twenty-five".