205249633 has 2 divisors, whose sum is σ = 205249634. Its totient is φ = 205249632.

The previous prime is 205249601. The next prime is 205249637. The reversal of 205249633 is 336942502.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 139428864 + 65820769 = 11808^2 + 8113^2 .

It is a cyclic number.

It is not a de Polignac number, because 205249633 - 2⁵ = 205249601 is a prime.

It is not a weakly prime, because it can be changed into another prime (205249637) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 102624816 + 102624817.

It is an arithmetic number, because the mean of its divisors is an integer number (102624817).

Almost surely, 2^205249633 is an apocalyptic number.

It is an amenable number.

205249633 is a deficient number, since it is larger than the sum of its proper divisors (1).

205249633 is an equidigital number, since it uses as much as digits as its factorization.

205249633 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 38880, while the sum is 34.

The square root of 205249633 is about 14326.5359735004. The cubic root of 205249633 is about 589.8760948271.

The spelling of 205249633 in words is "two hundred five million, two hundred forty-nine thousand, six hundred thirty-three".