257268941 has 2 divisors, whose sum is σ = 257268942. Its totient is φ = 257268940.

The previous prime is 257268937. The next prime is 257268959. The reversal of 257268941 is 149862752.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 144696841 + 112572100 = 12029^2 + 10610^2 .

It is a cyclic number.

It is not a de Polignac number, because 257268941 - 2² = 257268937 is a prime.

It is a super-2 number, since 2×257268941² = 132374616006522962, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 257268892 and 257268901.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (257268901) 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, 128634470 + 128634471.

It is an arithmetic number, because the mean of its divisors is an integer number (128634471).

Almost surely, 2^257268941 is an apocalyptic number.

It is an amenable number.

257268941 is a deficient number, since it is larger than the sum of its proper divisors (1).

257268941 is an equidigital number, since it uses as much as digits as its factorization.

257268941 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 241920, while the sum is 44.

The square root of 257268941 is about 16039.6053879140. The cubic root of 257268941 is about 636.0078162153.

The spelling of 257268941 in words is "two hundred fifty-seven million, two hundred sixty-eight thousand, nine hundred forty-one".