13008125 has 20 divisors (see below), whose sum is σ = 17516268. Its totient is φ = 9600000.

The previous prime is 13008119. The next prime is 13008137. The reversal of 13008125 is 52180031.

It can be written as a sum of positive squares in 10 ways, for example, as 7941124 + 5067001 = 2818^2 + 2251^2 .

It is not a de Polignac number, because 13008125 - 2¹⁸ = 12745981 is a prime.

It is a super-2 number, since 2×13008125² = 338422632031250, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 13008097 and 13008106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 7325 + ... + 8925.

Almost surely, 2^13008125 is an apocalyptic number.

It is an amenable number.

13008125 is a deficient number, since it is larger than the sum of its proper divisors (4508143).

13008125 is an equidigital number, since it uses as much as digits as its factorization.

13008125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1634 (or 1619 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 20.

The square root of 13008125 is about 3606.6778342403. The cubic root of 13008125 is about 235.1824447095.

Adding to 13008125 its reverse (52180031), we get a palindrome (65188156).

It can be divided in two parts, 1300 and 8125, that multiplied together give a square (10562500 = 3250²).

The spelling of 13008125 in words is "thirteen million, eight thousand, one hundred twenty-five".