205255361 has 2 divisors, whose sum is σ = 205255362. Its totient is φ = 205255360.

The previous prime is 205255343. The next prime is 205255367. The reversal of 205255361 is 163552502.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 103144336 + 102111025 = 10156^2 + 10105^2 .

It is a cyclic number.

It is not a de Polignac number, because 205255361 - 2²⁶ = 138146497 is a prime.

It is not a weakly prime, because it can be changed into another prime (205255367) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 102627680 + 102627681.

It is an arithmetic number, because the mean of its divisors is an integer number (102627681).

Almost surely, 2^205255361 is an apocalyptic number.

It is an amenable number.

205255361 is a deficient number, since it is larger than the sum of its proper divisors (1).

205255361 is an equidigital number, since it uses as much as digits as its factorization.

205255361 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 9000, while the sum is 29.

The square root of 205255361 is about 14326.7358808627. The cubic root of 205255361 is about 589.8815820945.

The spelling of 205255361 in words is "two hundred five million, two hundred fifty-five thousand, three hundred sixty-one".