564495266241 has 21 divisors (see below), whose sum is σ = 846386144401. Its totient is φ = 376316653572.

The previous prime is 564495266239. The next prime is 564495266311. The reversal of 564495266241 is 142662594465.

The square root of 564495266241 is 751329.

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

564495266241 is a `hidden beast` number, since 5 + 6 + 4 + 4 + 9 + 5 + 2 + 6 + 624 + 1 = 666.

It is not a de Polignac number, because 564495266241 - 2¹ = 564495266239 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (564495266341) by changing a digit.

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 20 ways as a sum of consecutive naturals, for example, 20271970 + ... + 20299796.

Almost surely, 2^564495266241 is an apocalyptic number.

564495266241 is the 751329-th square number.

564495266241 is the 375665-th centered octagonal number.

It is an amenable number.

564495266241 is a deficient number, since it is larger than the sum of its proper divisors (281890878160).

564495266241 is an frugal number, since it uses more digits than its factorization.

564495266241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55672 (or 27830 counting only the distinct ones).

The product of its digits is 12441600, while the sum is 54.

The spelling of 564495266241 in words is "five hundred sixty-four billion, four hundred ninety-five million, two hundred sixty-six thousand, two hundred forty-one".