257741249 has 2 divisors, whose sum is σ = 257741250. Its totient is φ = 257741248.

The previous prime is 257741227. The next prime is 257741273. The reversal of 257741249 is 942147752.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 255360400 + 2380849 = 15980^2 + 1543^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-257741249 is a prime.

It is not a weakly prime, because it can be changed into another prime (257741219) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 128870624 + 128870625.

It is an arithmetic number, because the mean of its divisors is an integer number (128870625).

Almost surely, 2^257741249 is an apocalyptic number.

It is an amenable number.

257741249 is a deficient number, since it is larger than the sum of its proper divisors (1).

257741249 is an equidigital number, since it uses as much as digits as its factorization.

257741249 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 141120, while the sum is 41.

The square root of 257741249 is about 16054.3218168816. The cubic root of 257741249 is about 636.3967839375.

The spelling of 257741249 in words is "two hundred fifty-seven million, seven hundred forty-one thousand, two hundred forty-nine".