13538125 has 10 divisors (see below), whose sum is σ = 16918022. Its totient is φ = 10830000.

The previous prime is 13538111. The next prime is 13538131. The reversal of 13538125 is 52183531.

It can be written as a sum of positive squares in 5 ways, for example, as 6584356 + 6953769 = 2566^2 + 2637^2 .

It is not a de Polignac number, because 13538125 - 2⁵ = 13538093 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 13538093 and 13538102.

It is a congruent number.

It is an unprimeable number.

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 9 ways as a sum of consecutive naturals, for example, 10206 + ... + 11455.

Almost surely, 2^13538125 is an apocalyptic number.

It is an amenable number.

13538125 is a deficient number, since it is larger than the sum of its proper divisors (3379897).

13538125 is an frugal number, since it uses more digits than its factorization.

13538125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21681 (or 21666 counting only the distinct ones).

The product of its digits is 3600, while the sum is 28.

The square root of 13538125 is about 3679.4191117621. The cubic root of 13538125 is about 238.3340940310.

The spelling of 13538125 in words is "thirteen million, five hundred thirty-eight thousand, one hundred twenty-five".