257018711764289 has 2 divisors, whose sum is σ = 257018711764290. Its totient is φ = 257018711764288.

The previous prime is 257018711764279. The next prime is 257018711764333. The reversal of 257018711764289 is 982467117810752.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 156070876365889 + 100947835398400 = 12492833^2 + 10047280^2 .

It is a cyclic number.

It is not a de Polignac number, because 257018711764289 - 2⁴⁰ = 255919200136513 is a prime.

It is not a weakly prime, because it can be changed into another prime (257018711764219) 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, 128509355882144 + 128509355882145.

It is an arithmetic number, because the mean of its divisors is an integer number (128509355882145).

Almost surely, 2^{257018711764289} is an apocalyptic number.

It is an amenable number.

257018711764289 is a deficient number, since it is larger than the sum of its proper divisors (1).

257018711764289 is an equidigital number, since it uses as much as digits as its factorization.

257018711764289 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 94832640, while the sum is 68.

The spelling of 257018711764289 in words is "two hundred fifty-seven trillion, eighteen billion, seven hundred eleven million, seven hundred sixty-four thousand, two hundred eighty-nine".