5565706680625 has 405 divisors, whose sum is σ = 9461319229791. Its totient is φ = 3261323520000.

The previous prime is 5565706680601. The next prime is 5565706680649. The reversal of 5565706680625 is 5260866075655.

The square root of 5565706680625 is 2359175.

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

It is an interprime number because it is at equal distance from previous prime (5565706680601) and next prime (5565706680649).

It can be written as a sum of positive squares in 67 ways, for example, as 214590371121 + 5351116309504 = 463239^2 + 2313248^2 .

It is not a de Polignac number, because 5565706680625 - 2¹⁹ = 5565706156337 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (61).

It is an unprimeable number.

It is a polite number, since it can be written in 404 ways as a sum of consecutive naturals, for example, 91241093095 + ... + 91241093155.

Almost surely, 2^{5565706680625} is an apocalyptic number.

5565706680625 is the 2359175-th square number.

5565706680625 is the 1179588-th centered octagonal number.

It is an amenable number.

5565706680625 is a deficient number, since it is larger than the sum of its proper divisors (3895612549166).

5565706680625 is an equidigital number, since it uses as much as digits as its factorization.

5565706680625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 216 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 90720000, while the sum is 61.

The spelling of 5565706680625 in words is "five trillion, five hundred sixty-five billion, seven hundred six million, six hundred eighty thousand, six hundred twenty-five".