565580706601 has 9 divisors (see below), whose sum is σ = 568254750231. Its totient is φ = 562919198112.

The previous prime is 565580706599. The next prime is 565580706619. The reversal of 565580706601 is 106607085565.

The square root of 565580706601 is 752051.

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

It can be written as a sum of positive squares in only one way, i.e., 522721770025 + 42858936576 = 722995^2 + 207024^2 .

It is not a de Polignac number, because 565580706601 - 2¹ = 565580706599 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (565580706671) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 170713921 + ... + 170717233.

Almost surely, 2^565580706601 is an apocalyptic number.

565580706601 is the 752051-st square number.

565580706601 is the 376026-th centered octagonal number.

It is an amenable number.

565580706601 is a deficient number, since it is larger than the sum of its proper divisors (2674043630).

565580706601 is an frugal number, since it uses more digits than its factorization.

565580706601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7080 (or 3540 counting only the distinct ones).

The product of its (nonzero) digits is 1512000, while the sum is 49.

Multiplying 565580706601 by its sum of digits (49), we get a square (27713454623449 = 5264357²).

It can be divided in two parts, 5655 and 80706601, that added together give a square (80712256 = 8984²).

The spelling of 565580706601 in words is "five hundred sixty-five billion, five hundred eighty million, seven hundred six thousand, six hundred one".