13128625 has 16 divisors (see below), whose sum is σ = 16533504. Its totient is φ = 10407600.

The previous prime is 13128623. The next prime is 13128649. The reversal of 13128625 is 52682131.

13128625 = 93² + 94² + ... + 342².

It is not a de Polignac number, because 13128625 - 2¹ = 13128623 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 13128593 and 13128602.

It is not an unprimeable number, because it can be changed into a prime (13128623) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15462 + ... + 16288.

It is an arithmetic number, because the mean of its divisors is an integer number (1033344).

Almost surely, 2^13128625 is an apocalyptic number.

It is an amenable number.

13128625 is a deficient number, since it is larger than the sum of its proper divisors (3404879).

13128625 is an equidigital number, since it uses as much as digits as its factorization.

13128625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 969 (or 959 counting only the distinct ones).

The product of its digits is 2880, while the sum is 28.

The square root of 13128625 is about 3623.3444495383. The cubic root of 13128625 is about 235.9064133860.

The spelling of 13128625 in words is "thirteen million, one hundred twenty-eight thousand, six hundred twenty-five".