13008577 has 4 divisors (see below), whose sum is σ = 13060656. Its totient is φ = 12956500.

The previous prime is 13008563. The next prime is 13008599. The reversal of 13008577 is 77580031.

13008577 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 13008577 - 2⁷ = 13008449 is a prime.

It is a Smith number, since the sum of its digits (31) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13008517) 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 3 ways as a sum of consecutive naturals, for example, 25663 + ... + 26164.

It is an arithmetic number, because the mean of its divisors is an integer number (3265164).

Almost surely, 2^13008577 is an apocalyptic number.

It is an amenable number.

13008577 is a deficient number, since it is larger than the sum of its proper divisors (52079).

13008577 is an equidigital number, since it uses as much as digits as its factorization.

13008577 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52078.

The product of its (nonzero) digits is 5880, while the sum is 31.

The square root of 13008577 is about 3606.7404952394. The cubic root of 13008577 is about 235.1851686797.

The spelling of 13008577 in words is "thirteen million, eight thousand, five hundred seventy-seven".