566106849 has 81 divisors (see below), whose sum is σ = 1055798289. Its totient is φ = 291226320.

The previous prime is 566106847. The next prime is 566106907. The reversal of 566106849 is 948601665.

The square root of 566106849 is 23793.

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

566106849 is a `hidden beast` number, since 566 + 1 + 0 + 6 + 84 + 9 = 666.

566106849 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 566106849 - 2¹ = 566106847 is a prime.

It is not an unprimeable number, because it can be changed into a prime (566106847) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 5496132 + ... + 5496234.

Almost surely, 2^566106849 is an apocalyptic number.

566106849 is the 23793-rd square number.

566106849 is the 11897-th centered octagonal number.

It is an amenable number.

566106849 is a deficient number, since it is larger than the sum of its proper divisors (489691440).

566106849 is a wasteful number, since it uses less digits than its factorization.

566106849 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The cubic root of 566106849 is about 827.2424326543.

The spelling of 566106849 in words is "five hundred sixty-six million, one hundred six thousand, eight hundred forty-nine".