13528125 has 72 divisors (see below), whose sum is σ = 27013896. Its totient is φ = 6480000.

The previous prime is 13528093. The next prime is 13528129. The reversal of 13528125 is 52182531.

It is a happy number.

13528125 is a `hidden beast` number, since 13 + 528 + 125 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 13461561 + 66564 = 3669^2 + 258^2 .

It is not a de Polignac number, because 13528125 - 2⁵ = 13528093 is a prime.

It is a Curzon number.

It is a zygodrome in base 3.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13528129) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 365607 + ... + 365643.

It is an arithmetic number, because the mean of its divisors is an integer number (375193).

Almost surely, 2^13528125 is an apocalyptic number.

13528125 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

13528125 is a deficient number, since it is larger than the sum of its proper divisors (13485771).

13528125 is an equidigital number, since it uses as much as digits as its factorization.

13528125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81 (or 58 counting only the distinct ones).

The product of its digits is 2400, while the sum is 27.

The square root of 13528125 is about 3678.0599505718. The cubic root of 13528125 is about 238.2753973748.

The spelling of 13528125 in words is "thirteen million, five hundred twenty-eight thousand, one hundred twenty-five".