257457763 has 2 divisors, whose sum is σ = 257457764. Its totient is φ = 257457762.

The previous prime is 257457743. The next prime is 257457773. The reversal of 257457763 is 367754752.

It is a happy number.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 257457763 - 2⁹ = 257457251 is a prime.

It is not a weakly prime, because it can be changed into another prime (257457703) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 128728881 + 128728882.

It is an arithmetic number, because the mean of its divisors is an integer number (128728882).

Almost surely, 2^257457763 is an apocalyptic number.

257457763 is a deficient number, since it is larger than the sum of its proper divisors (1).

257457763 is an equidigital number, since it uses as much as digits as its factorization.

257457763 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1234800, while the sum is 46.

The square root of 257457763 is about 16045.4904256617. The cubic root of 257457763 is about 636.1633770315.

The spelling of 257457763 in words is "two hundred fifty-seven million, four hundred fifty-seven thousand, seven hundred sixty-three".