205753057 has 16 divisors (see below), whose sum is σ = 226962000. Its totient is φ = 185651200.

The previous prime is 205753021. The next prime is 205753069. The reversal of 205753057 is 750357502.

It can be written as a sum of positive squares in 8 ways, for example, as 576081 + 205176976 = 759^2 + 14324^2 .

It is a cyclic number.

It is not a de Polignac number, because 205753057 - 2⁷ = 205752929 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (205753157) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 72057 + ... + 74857.

It is an arithmetic number, because the mean of its divisors is an integer number (14185125).

Almost surely, 2^205753057 is an apocalyptic number.

It is an amenable number.

205753057 is a deficient number, since it is larger than the sum of its proper divisors (21208943).

205753057 is a wasteful number, since it uses less digits than its factorization.

205753057 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2996.

The product of its (nonzero) digits is 36750, while the sum is 34.

The square root of 205753057 is about 14344.0948477065. The cubic root of 205753057 is about 590.3579719806.

It can be divided in two parts, 20575 and 3057, that added together give a palindrome (23632).

The spelling of 205753057 in words is "two hundred five million, seven hundred fifty-three thousand, fifty-seven".