205753053 has 32 divisors (see below), whose sum is σ = 304330752. Its totient is φ = 122616000.

The previous prime is 205753021. The next prime is 205753069. The reversal of 205753053 is 350357502.

205753053 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 205753053 - 2⁵ = 205753021 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 205753053.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (205753003) 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, 782200 + ... + 782462.

It is an arithmetic number, because the mean of its divisors is an integer number (9510336).

Almost surely, 2^205753053 is an apocalyptic number.

It is an amenable number.

205753053 is a deficient number, since it is larger than the sum of its proper divisors (98577699).

205753053 is a wasteful number, since it uses less digits than its factorization.

205753053 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 585.

The product of its (nonzero) digits is 15750, while the sum is 30.

The square root of 205753053 is about 14344.0947082763. The cubic root of 205753053 is about 590.3579681549.

The spelling of 205753053 in words is "two hundred five million, seven hundred fifty-three thousand, fifty-three".