205768053 has 32 divisors (see below), whose sum is σ = 313891200. Its totient is φ = 133142400.

The previous prime is 205768037. The next prime is 205768091. The reversal of 205768053 is 350867502.

205768053 is a `hidden beast` number, since 2 + 0 + 576 + 80 + 5 + 3 = 666.

205768053 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 205768053 - 2⁴ = 205768037 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 205767999 and 205768017.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (205768033) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 297438 + ... + 298128.

It is an arithmetic number, because the mean of its divisors is an integer number (9809100).

Almost surely, 2^205768053 is an apocalyptic number.

It is an amenable number.

205768053 is a deficient number, since it is larger than the sum of its proper divisors (108123147).

205768053 is a wasteful number, since it uses less digits than its factorization.

205768053 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1010 (or 1004 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 205768053 is about 14344.6175619986. The cubic root of 205768053 is about 590.3723140811.

The spelling of 205768053 in words is "two hundred five million, seven hundred sixty-eight thousand, fifty-three".