13006564 has 24 divisors (see below), whose sum is σ = 25371360. Its totient is φ = 5798016.

The previous prime is 13006559. The next prime is 13006579. The reversal of 13006564 is 46560031.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 3742 + ... + 6325.

It is an arithmetic number, because the mean of its divisors is an integer number (1057140).

Almost surely, 2^13006564 is an apocalyptic number.

It is an amenable number.

13006564 is a deficient number, since it is larger than the sum of its proper divisors (12364796).

13006564 is a wasteful number, since it uses less digits than its factorization.

13006564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10107 (or 10105 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 25.

The square root of 13006564 is about 3606.4614236118. The cubic root of 13006564 is about 235.1730368847.

Adding to 13006564 its reverse (46560031), we get a palindrome (59566595).

The spelling of 13006564 in words is "thirteen million, six thousand, five hundred sixty-four".