257461349 has 2 divisors, whose sum is σ = 257461350. Its totient is φ = 257461348.

The previous prime is 257461327. The next prime is 257461387. The reversal of 257461349 is 943164752.

257461349 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 236236900 + 21224449 = 15370^2 + 4607^2 .

It is a cyclic number.

It is not a de Polignac number, because 257461349 - 2⁸ = 257461093 is a prime.

It is a Sophie Germain prime.

It is a Chen prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (257461319) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 128730674 + 128730675.

It is an arithmetic number, because the mean of its divisors is an integer number (128730675).

Almost surely, 2^257461349 is an apocalyptic number.

It is an amenable number.

257461349 is a deficient number, since it is larger than the sum of its proper divisors (1).

257461349 is an equidigital number, since it uses as much as digits as its factorization.

257461349 is an evil number, because the sum of its binary digits is even.

The product of its digits is 181440, while the sum is 41.

The square root of 257461349 is about 16045.6021700652. The cubic root of 257461349 is about 636.1663306179.

The spelling of 257461349 in words is "two hundred fifty-seven million, four hundred sixty-one thousand, three hundred forty-nine".