564128677225 has 9 divisors (see below), whose sum is σ = 699524216517. Its totient is φ = 451299937440.

The previous prime is 564128677187. The next prime is 564128677243. The reversal of 564128677225 is 522776821465.

It is a happy number.

The square root of 564128677225 is 751085.

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

It can be written as a sum of positive squares in 4 ways, for example, as 290017792089 + 274110885136 = 538533^2 + 523556^2 .

It is not a de Polignac number, because 564128677225 - 2¹¹ = 564128675177 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 3680317 + ... + 3830533.

Almost surely, 2^564128677225 is an apocalyptic number.

564128677225 is the 751085-th square number.

564128677225 is the 375543-rd centered octagonal number.

It is an amenable number.

564128677225 is a deficient number, since it is larger than the sum of its proper divisors (135395539292).

564128677225 is an frugal number, since it uses more digits than its factorization.

564128677225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 300444 (or 150222 counting only the distinct ones).

The product of its digits is 11289600, while the sum is 55.

The spelling of 564128677225 in words is "five hundred sixty-four billion, one hundred twenty-eight million, six hundred seventy-seven thousand, two hundred twenty-five".