205348742257 has 2 divisors, whose sum is σ = 205348742258. Its totient is φ = 205348742256.

The previous prime is 205348742201. The next prime is 205348742299. The reversal of 205348742257 is 752247843502.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 163305700321 + 42043041936 = 404111^2 + 205044^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-205348742257 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 205348742257.

It is not a weakly prime, because it can be changed into another prime (205348772257) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 102674371128 + 102674371129.

It is an arithmetic number, because the mean of its divisors is an integer number (102674371129).

Almost surely, 2^205348742257 is an apocalyptic number.

It is an amenable number.

205348742257 is a deficient number, since it is larger than the sum of its proper divisors (1).

205348742257 is an equidigital number, since it uses as much as digits as its factorization.

205348742257 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3763200, while the sum is 49.

The spelling of 205348742257 in words is "two hundred five billion, three hundred forty-eight million, seven hundred forty-two thousand, two hundred fifty-seven".