257262741 has 36 divisors (see below), whose sum is σ = 394719780. Its totient is φ = 161360640.

The previous prime is 257262727. The next prime is 257262743. The reversal of 257262741 is 147262752.

It is a happy number.

257262741 is a `hidden beast` number, since 25 + 7 + 2 + 627 + 4 + 1 = 666.

257262741 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 12215025 + 245047716 = 3495^2 + 15654^2 .

It is not a de Polignac number, because 257262741 - 2¹⁹ = 256738453 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 257262696 and 257262705.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (257262743) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 309915 + ... + 310743.

Almost surely, 2^257262741 is an apocalyptic number.

It is an amenable number.

257262741 is a deficient number, since it is larger than the sum of its proper divisors (137457039).

257262741 is a wasteful number, since it uses less digits than its factorization.

257262741 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 934 (or 902 counting only the distinct ones).

The product of its digits is 47040, while the sum is 36.

The square root of 257262741 is about 16039.4121151618. The cubic root of 257262741 is about 636.0027070610.

The spelling of 257262741 in words is "two hundred fifty-seven million, two hundred sixty-two thousand, seven hundred forty-one".