257057512424291 has 2 divisors, whose sum is σ = 257057512424292. Its totient is φ = 257057512424290.

The previous prime is 257057512424233. The next prime is 257057512424329. The reversal of 257057512424291 is 192424215750752.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 257057512424291 - 2⁶ = 257057512424227 is a prime.

It is not a weakly prime, because it can be changed into another prime (257057512424231) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 128528756212145 + 128528756212146.

It is an arithmetic number, because the mean of its divisors is an integer number (128528756212146).

Almost surely, 2^{257057512424291} is an apocalyptic number.

257057512424291 is a deficient number, since it is larger than the sum of its proper divisors (1).

257057512424291 is an equidigital number, since it uses as much as digits as its factorization.

257057512424291 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 14112000, while the sum is 56.

The spelling of 257057512424291 in words is "two hundred fifty-seven trillion, fifty-seven billion, five hundred twelve million, four hundred twenty-four thousand, two hundred ninety-one".