13005625 has 10 divisors (see below), whose sum is σ = 16252610. Its totient is φ = 10404000.

The previous prime is 13005623. The next prime is 13005631. The reversal of 13005625 is 52650031.

It is a happy number.

13005625 is digitally balanced in base 3, 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 5 ways, for example, as 6775609 + 6230016 = 2603^2 + 2496^2 .

It is not a de Polignac number, because 13005625 - 2¹ = 13005623 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 13005596 and 13005605.

It is not an unprimeable number, because it can be changed into a prime (13005623) by changing a digit.

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, 9780 + ... + 11029.

It is an arithmetic number, because the mean of its divisors is an integer number (1625261).

Almost surely, 2^13005625 is an apocalyptic number.

It is an amenable number.

13005625 is a deficient number, since it is larger than the sum of its proper divisors (3246985).

13005625 is an frugal number, since it uses more digits than its factorization.

13005625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20829 (or 20814 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 22.

The square root of 13005625 is about 3606.3312382531. The cubic root of 13005625 is about 235.1673773630.

Adding to 13005625 its reverse (52650031), we get a palindrome (65655656).

The spelling of 13005625 in words is "thirteen million, five thousand, six hundred twenty-five".