205666011 has 24 divisors (see below), whose sum is σ = 300824160. Its totient is φ = 135392256.

The previous prime is 205666009. The next prime is 205666067. The reversal of 205666011 is 110666502.

It is a happy number.

205666011 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 205666011 - 2¹ = 205666009 is a prime.

It is not an unprimeable number, because it can be changed into a prime (205666001) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 289725 + ... + 290433.

It is an arithmetic number, because the mean of its divisors is an integer number (12534340).

Almost surely, 2^205666011 is an apocalyptic number.

205666011 is a deficient number, since it is larger than the sum of its proper divisors (95158149).

205666011 is a wasteful number, since it uses less digits than its factorization.

205666011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1075 (or 1072 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 205666011 is about 14341.0603164480. The cubic root of 205666011 is about 590.2747078495.

The spelling of 205666011 in words is "two hundred five million, six hundred sixty-six thousand, eleven".