13008564 has 18 divisors (see below), whose sum is σ = 32882850. Its totient is φ = 4336176.

The previous prime is 13008563. The next prime is 13008599. The reversal of 13008564 is 46580031.

It can be written as a sum of positive squares in only one way, i.e., 9659664 + 3348900 = 3108^2 + 1830^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13008563) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 180639 + ... + 180710.

It is an arithmetic number, because the mean of its divisors is an integer number (1826825).

Almost surely, 2^13008564 is an apocalyptic number.

It is an amenable number.

13008564 is an abundant number, since it is smaller than the sum of its proper divisors (19874286).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13008564 is a wasteful number, since it uses less digits than its factorization.

13008564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 361359 (or 361354 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 13008564 is about 3606.7386930578. The cubic root of 13008564 is about 235.1850903363.

Adding to 13008564 its reverse (46580031), we get a palindrome (59588595).

The spelling of 13008564 in words is "thirteen million, eight thousand, five hundred sixty-four".