13017325 has 24 divisors (see below), whose sum is σ = 17309160. Its totient is φ = 9676800.

The previous prime is 13017313. The next prime is 13017331. The reversal of 13017325 is 52371031.

13017325 = 480² + 481² + ... + 530².

13017325 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 12 ways, for example, as 492804 + 12524521 = 702^2 + 3539^2 .

It is not a de Polignac number, because 13017325 - 2⁵ = 13017293 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 13017296 and 13017305.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 46185 + ... + 46465.

It is an arithmetic number, because the mean of its divisors is an integer number (721215).

Almost surely, 2^13017325 is an apocalyptic number.

It is an amenable number.

13017325 is a deficient number, since it is larger than the sum of its proper divisors (4291835).

13017325 is a wasteful number, since it uses less digits than its factorization.

13017325 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 417 (or 412 counting only the distinct ones).

The product of its (nonzero) digits is 630, while the sum is 22.

The square root of 13017325 is about 3607.9530207584. The cubic root of 13017325 is about 235.2378759266.

Adding to 13017325 its reverse (52371031), we get a palindrome (65388356).

The spelling of 13017325 in words is "thirteen million, seventeen thousand, three hundred twenty-five".