205040593 has 2 divisors, whose sum is σ = 205040594. Its totient is φ = 205040592.

The previous prime is 205040579. The next prime is 205040599. The reversal of 205040593 is 395040502.

205040593 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 183250369 + 21790224 = 13537^2 + 4668^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-205040593 is a prime.

It is not a weakly prime, because it can be changed into another prime (205040599) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 102520296 + 102520297.

It is an arithmetic number, because the mean of its divisors is an integer number (102520297).

Almost surely, 2^205040593 is an apocalyptic number.

It is an amenable number.

205040593 is a deficient number, since it is larger than the sum of its proper divisors (1).

205040593 is an equidigital number, since it uses as much as digits as its factorization.

205040593 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 5400, while the sum is 28.

The square root of 205040593 is about 14319.2385621583. The cubic root of 205040593 is about 589.6757703371.

The spelling of 205040593 in words is "two hundred five million, forty thousand, five hundred ninety-three".