13116564 has 18 divisors (see below), whose sum is σ = 33155850. Its totient is φ = 4372176.

The previous prime is 13116563. The next prime is 13116569. The reversal of 13116564 is 46561131.

13116564 is a `hidden beast` number, since 1 + 3 + 1 + 1 + 656 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 7064964 + 6051600 = 2658^2 + 2460^2 .

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 (13116563) 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, 182139 + ... + 182210.

Almost surely, 2^13116564 is an apocalyptic number.

It is an amenable number.

13116564 is an abundant number, since it is smaller than the sum of its proper divisors (20039286).

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

13116564 is a wasteful number, since it uses less digits than its factorization.

13116564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 364359 (or 364354 counting only the distinct ones).

The product of its digits is 2160, while the sum is 27.

The square root of 13116564 is about 3621.6797207925. The cubic root of 13116564 is about 235.8341504492.

Adding to 13116564 its reverse (46561131), we get a palindrome (59677695).

It can be divided in two parts, 1311 and 6564, that added together give a triangular number (7875 = T₁₂₅).

The spelling of 13116564 in words is "thirteen million, one hundred sixteen thousand, five hundred sixty-four".