257404747 has 2 divisors, whose sum is σ = 257404748. Its totient is φ = 257404746.

The previous prime is 257404681. The next prime is 257404757. The reversal of 257404747 is 747404752.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 257404747 - 2⁷ = 257404619 is a prime.

It is not a weakly prime, because it can be changed into another prime (257404757) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 128702373 + 128702374.

It is an arithmetic number, because the mean of its divisors is an integer number (128702374).

Almost surely, 2^257404747 is an apocalyptic number.

257404747 is a deficient number, since it is larger than the sum of its proper divisors (1).

257404747 is an equidigital number, since it uses as much as digits as its factorization.

257404747 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 219520, while the sum is 40.

The square root of 257404747 is about 16043.8382876418. The cubic root of 257404747 is about 636.1197075347.

The spelling of 257404747 in words is "two hundred fifty-seven million, four hundred four thousand, seven hundred forty-seven".