257461117 has 2 divisors, whose sum is σ = 257461118. Its totient is φ = 257461116.

The previous prime is 257461109. The next prime is 257461129. The reversal of 257461117 is 711164752.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 221592996 + 35868121 = 14886^2 + 5989^2 .

It is a cyclic number.

It is not a de Polignac number, because 257461117 - 2³ = 257461109 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (257461147) 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, 128730558 + 128730559.

It is an arithmetic number, because the mean of its divisors is an integer number (128730559).

Almost surely, 2^257461117 is an apocalyptic number.

It is an amenable number.

257461117 is a deficient number, since it is larger than the sum of its proper divisors (1).

257461117 is an equidigital number, since it uses as much as digits as its factorization.

257461117 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 11760, while the sum is 34.

The square root of 257461117 is about 16045.5949406683. The cubic root of 257461117 is about 636.1661395334.

The spelling of 257461117 in words is "two hundred fifty-seven million, four hundred sixty-one thousand, one hundred seventeen".