205785253 has 2 divisors, whose sum is σ = 205785254. Its totient is φ = 205785252.

The previous prime is 205785211. The next prime is 205785277. The reversal of 205785253 is 352587502.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 153338689 + 52446564 = 12383^2 + 7242^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-205785253 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (205785053) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 102892626 + 102892627.

It is an arithmetic number, because the mean of its divisors is an integer number (102892627).

Almost surely, 2^205785253 is an apocalyptic number.

It is an amenable number.

205785253 is a deficient number, since it is larger than the sum of its proper divisors (1).

205785253 is an equidigital number, since it uses as much as digits as its factorization.

205785253 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 84000, while the sum is 37.

The square root of 205785253 is about 14345.2170774792. The cubic root of 205785253 is about 590.3887632185.

The spelling of 205785253 in words is "two hundred five million, seven hundred eighty-five thousand, two hundred fifty-three".