6565724642689 has 9 divisors (see below), whose sum is σ = 6784436470851. Its totient is φ = 6353850202560.

The previous prime is 6565724642683. The next prime is 6565724642707. The reversal of 6565724642689 is 9862464275656.

The square root of 6565724642689 is 2562367.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 3963981450625 + 2601743192064 = 1990975^2 + 1612992^2 .

It is not a de Polignac number, because 6565724642689 - 2³ = 6565724642681 is a prime.

It is a super-2 number, since 2×6565724642689² (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (6565724642681) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 79392049 + ... + 79474705.

It is an arithmetic number, because the mean of its divisors is an integer number (753826274539).

Almost surely, 2^{6565724642689} is an apocalyptic number.

6565724642689 is the 2562367-th square number.

6565724642689 is the 1281184-th centered octagonal number.

It is an amenable number.

6565724642689 is a deficient number, since it is larger than the sum of its proper divisors (218711828162).

6565724642689 is an frugal number, since it uses more digits than its factorization.

6565724642689 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165376 (or 82688 counting only the distinct ones).

The product of its digits is 1045094400, while the sum is 70.

The spelling of 6565724642689 in words is "six trillion, five hundred sixty-five billion, seven hundred twenty-four million, six hundred forty-two thousand, six hundred eighty-nine".