205344225333241 has 2 divisors, whose sum is σ = 205344225333242. Its totient is φ = 205344225333240.

The previous prime is 205344225333197. The next prime is 205344225333257. The reversal of 205344225333241 is 142333522443502.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 120324226177600 + 85019999155641 = 10969240^2 + 9220629^2 .

It is a cyclic number.

It is not a de Polignac number, because 205344225333241 - 2⁷ = 205344225333113 is a prime.

It is not a weakly prime, because it can be changed into another prime (205344225331241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 102672112666620 + 102672112666621.

It is an arithmetic number, because the mean of its divisors is an integer number (102672112666621).

Almost surely, 2^{205344225333241} is an apocalyptic number.

It is an amenable number.

205344225333241 is a deficient number, since it is larger than the sum of its proper divisors (1).

205344225333241 is an equidigital number, since it uses as much as digits as its factorization.

205344225333241 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2073600, while the sum is 43.

Adding to 205344225333241 its reverse (142333522443502), we get a palindrome (347677747776743).

The spelling of 205344225333241 in words is "two hundred five trillion, three hundred forty-four billion, two hundred twenty-five million, three hundred thirty-three thousand, two hundred forty-one".