257018711764279 has 2 divisors, whose sum is σ = 257018711764280. Its totient is φ = 257018711764278.

The previous prime is 257018711764253. The next prime is 257018711764289. The reversal of 257018711764279 is 972467117810752.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 257018711764279 - 2¹³ = 257018711756087 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (257018711764219) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 128509355882139 + 128509355882140.

It is an arithmetic number, because the mean of its divisors is an integer number (128509355882140).

Almost surely, 2^{257018711764279} is an apocalyptic number.

257018711764279 is a deficient number, since it is larger than the sum of its proper divisors (1).

257018711764279 is an equidigital number, since it uses as much as digits as its factorization.

257018711764279 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 82978560, while the sum is 67.

The spelling of 257018711764279 in words is "two hundred fifty-seven trillion, eighteen billion, seven hundred eleven million, seven hundred sixty-four thousand, two hundred seventy-nine".