205257042 has 24 divisors (see below), whose sum is σ = 448663644. Its totient is φ = 67812864.

The previous prime is 205257011. The next prime is 205257043. The reversal of 205257042 is 240752502.

205257042 is a `hidden beast` number, since 2 + 0 + 52 + 570 + 42 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 123010281 + 82246761 = 11091^2 + 9069^2 .

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 205256997 and 205257015.

It is not an unprimeable number, because it can be changed into a prime (205257043) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 48423 + ... + 52490.

Almost surely, 2^205257042 is an apocalyptic number.

205257042 is an abundant number, since it is smaller than the sum of its proper divisors (243406602).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

205257042 is a wasteful number, since it uses less digits than its factorization.

205257042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101034 (or 101031 counting only the distinct ones).

The product of its (nonzero) digits is 5600, while the sum is 27.

The square root of 205257042 is about 14326.7945472810. The cubic root of 205257042 is about 589.8831924272.

The spelling of 205257042 in words is "two hundred five million, two hundred fifty-seven thousand, forty-two".