566056102689 has 81 divisors (see below), whose sum is σ = 1045776138771. Its totient is φ = 293964834240.

The previous prime is 566056102613. The next prime is 566056102697. The reversal of 566056102689 is 986201650665.

The square root of 566056102689 is 752367.

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

566056102689 is a `hidden beast` number, since 5 + 6 + 605 + 6 + 1 + 0 + 26 + 8 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 485063496225 + 80992606464 = 696465^2 + 284592^2 .

It is not a de Polignac number, because 566056102689 - 2⁹ = 566056102177 is a prime.

It is a super-3 number, since 3×566056102689³ (a number of 36 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (566056104689) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 173795149 + ... + 173798405.

Almost surely, 2^566056102689 is an apocalyptic number.

566056102689 is the 752367-th square number.

566056102689 is the 376184-th centered octagonal number.

It is an amenable number.

566056102689 is a deficient number, since it is larger than the sum of its proper divisors (479720036082).

566056102689 is an equidigital number, since it uses as much as digits as its factorization.

566056102689 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6556 (or 3278 counting only the distinct ones).

The product of its (nonzero) digits is 4665600, while the sum is 54.

The spelling of 566056102689 in words is "five hundred sixty-six billion, fifty-six million, one hundred two thousand, six hundred eighty-nine".