257261749 has 2 divisors, whose sum is σ = 257261750. Its totient is φ = 257261748.

The previous prime is 257261723. The next prime is 257261773. The reversal of 257261749 is 947162752.

257261749 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 211266225 + 45995524 = 14535^2 + 6782^2 .

It is a cyclic number.

It is not a de Polignac number, because 257261749 - 2¹⁹ = 256737461 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (257261779) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 128630874 + 128630875.

It is an arithmetic number, because the mean of its divisors is an integer number (128630875).

Almost surely, 2^257261749 is an apocalyptic number.

It is an amenable number.

257261749 is a deficient number, since it is larger than the sum of its proper divisors (1).

257261749 is an equidigital number, since it uses as much as digits as its factorization.

257261749 is an evil number, because the sum of its binary digits is even.

The product of its digits is 211680, while the sum is 43.

The square root of 257261749 is about 16039.3811913054. The cubic root of 257261749 is about 636.0018895887.

The spelling of 257261749 in words is "two hundred fifty-seven million, two hundred sixty-one thousand, seven hundred forty-nine".