257493509314267 has 2 divisors, whose sum is σ = 257493509314268. Its totient is φ = 257493509314266.

The previous prime is 257493509314259. The next prime is 257493509314289. The reversal of 257493509314267 is 762413905394752.

257493509314267 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 257493509314267 - 2³ = 257493509314259 is a prime.

It is not a weakly prime, because it can be changed into another prime (257493509314207) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 128746754657133 + 128746754657134.

It is an arithmetic number, because the mean of its divisors is an integer number (128746754657134).

Almost surely, 2^{257493509314267} is an apocalyptic number.

257493509314267 is a deficient number, since it is larger than the sum of its proper divisors (1).

257493509314267 is an equidigital number, since it uses as much as digits as its factorization.

257493509314267 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 342921600, while the sum is 67.

The spelling of 257493509314267 in words is "two hundred fifty-seven trillion, four hundred ninety-three billion, five hundred nine million, three hundred fourteen thousand, two hundred sixty-seven".