257259047 has 2 divisors, whose sum is σ = 257259048. Its totient is φ = 257259046.

The previous prime is 257259017. The next prime is 257259053. The reversal of 257259047 is 740952752.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 257259047 - 2⁸ = 257258791 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 257258995 and 257259013.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (257259017) 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, 128629523 + 128629524.

It is an arithmetic number, because the mean of its divisors is an integer number (128629524).

Almost surely, 2^257259047 is an apocalyptic number.

257259047 is a deficient number, since it is larger than the sum of its proper divisors (1).

257259047 is an equidigital number, since it uses as much as digits as its factorization.

257259047 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 176400, while the sum is 41.

The square root of 257259047 is about 16039.2969609020. The cubic root of 257259047 is about 635.9996629549. Note that the first 3 decimals are identical.

The spelling of 257259047 in words is "two hundred fifty-seven million, two hundred fifty-nine thousand, forty-seven".