205506241 has 2 divisors, whose sum is σ = 205506242. Its totient is φ = 205506240.

The previous prime is 205506211. The next prime is 205506247. The reversal of 205506241 is 142605502.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 196112016 + 9394225 = 14004^2 + 3065^2 .

It is a cyclic number.

It is not a de Polignac number, because 205506241 - 2¹¹ = 205504193 is a prime.

It is not a weakly prime, because it can be changed into another prime (205506247) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 102753120 + 102753121.

It is an arithmetic number, because the mean of its divisors is an integer number (102753121).

Almost surely, 2^205506241 is an apocalyptic number.

It is an amenable number.

205506241 is a deficient number, since it is larger than the sum of its proper divisors (1).

205506241 is an equidigital number, since it uses as much as digits as its factorization.

205506241 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2400, while the sum is 25.

The square root of 205506241 is about 14335.4888650510. The cubic root of 205506241 is about 590.1218181863.

The spelling of 205506241 in words is "two hundred five million, five hundred six thousand, two hundred forty-one".