257263083 has 72 divisors (see below), whose sum is σ = 475793136. Its totient is φ = 132451200.

The previous prime is 257263043. The next prime is 257263093. The reversal of 257263083 is 380362752.

257263083 is a `hidden beast` number, since 2 + 572 + 6 + 3 + 0 + 83 = 666.

It is not a de Polignac number, because 257263083 - 2⁸ = 257262827 is a prime.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (257263003) 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 in 71 ways as a sum of consecutive naturals, for example, 877885 + ... + 878177.

It is an arithmetic number, because the mean of its divisors is an integer number (6608238).

Almost surely, 2^257263083 is an apocalyptic number.

257263083 is a deficient number, since it is larger than the sum of its proper divisors (218530053).

257263083 is a wasteful number, since it uses less digits than its factorization.

257263083 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 505 (or 495 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 257263083 is about 16039.4227763969. The cubic root of 257263083 is about 636.0029888907.

The spelling of 257263083 in words is "two hundred fifty-seven million, two hundred sixty-three thousand, eighty-three".