564810985625 has 90 divisors (see below), whose sum is σ = 783681077718. Its totient is φ = 405496256000.

The previous prime is 564810985619. The next prime is 564810985679. The reversal of 564810985625 is 526589018465.

It can be written as a sum of positive squares in 15 ways, for example, as 518653470976 + 46157514649 = 720176^2 + 214843^2 .

It is not a de Polignac number, because 564810985625 - 2¹² = 564810981529 is a prime.

It is a super-2 number, since 2×564810985625² (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 1781737967 + ... + 1781738283.

Almost surely, 2^564810985625 is an apocalyptic number.

It is an amenable number.

564810985625 is a deficient number, since it is larger than the sum of its proper divisors (218870092093).

564810985625 is an frugal number, since it uses more digits than its factorization.

564810985625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 717 (or 362 counting only the distinct ones).

The product of its (nonzero) digits is 20736000, while the sum is 59.

The spelling of 564810985625 in words is "five hundred sixty-four billion, eight hundred ten million, nine hundred eighty-five thousand, six hundred twenty-five".