257018711764219 has 2 divisors, whose sum is σ = 257018711764220. Its totient is φ = 257018711764218.

The previous prime is 257018711764193. The next prime is 257018711764231. The reversal of 257018711764219 is 912467117810752.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 257018711764219 - 2²⁹ = 257018174893307 is a prime.

It is a super-4 number, since 4×257018711764219⁴ (a number of 59 digits) contains 4444 as substring. Note that it is a super-d number also for d = 3, 2.

It is not a weakly prime, because it can be changed into another prime (257018711764279) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 128509355882109 + 128509355882110.

It is an arithmetic number, because the mean of its divisors is an integer number (128509355882110).

Almost surely, 2^{257018711764219} is an apocalyptic number.

257018711764219 is a deficient number, since it is larger than the sum of its proper divisors (1).

257018711764219 is an equidigital number, since it uses as much as digits as its factorization.

257018711764219 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 11854080, while the sum is 61.

The spelling of 257018711764219 in words is "two hundred fifty-seven trillion, eighteen billion, seven hundred eleven million, seven hundred sixty-four thousand, two hundred nineteen".