13140625 has 21 divisors (see below), whose sum is σ = 17011501. Its totient is φ = 10150000.

The previous prime is 13140607. The next prime is 13140649. The reversal of 13140625 is 52604131.

The square root of 13140625 is 3625.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 10 ways, for example, as 11135569 + 2005056 = 3337^2 + 1416^2 .

It is not a de Polignac number, because 13140625 - 2⁵ = 13140593 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 13140596 and 13140605.

It is an unprimeable number.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 453111 + ... + 453139.

Almost surely, 2^13140625 is an apocalyptic number.

13140625 is the 3625-th square number.

13140625 is the 1813-rd centered octagonal number.

It is an amenable number.

13140625 is a deficient number, since it is larger than the sum of its proper divisors (3870876).

13140625 is an frugal number, since it uses more digits than its factorization.

13140625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 22.

The cubic root of 13140625 is about 235.9782669348.

Adding to 13140625 its reverse (52604131), we get a palindrome (65744756).

The spelling of 13140625 in words is "thirteen million, one hundred forty thousand, six hundred twenty-five".