257854133 has 2 divisors, whose sum is σ = 257854134. Its totient is φ = 257854132.

The previous prime is 257854099. The next prime is 257854141. The reversal of 257854133 is 331458752.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 257345764 + 508369 = 16042^2 + 713^2 .

It is a cyclic number.

It is not a de Polignac number, because 257854133 - 2²² = 253659829 is a prime.

It is a Sophie Germain 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 (257854153) 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, 128927066 + 128927067.

It is an arithmetic number, because the mean of its divisors is an integer number (128927067).

Almost surely, 2^257854133 is an apocalyptic number.

It is an amenable number.

257854133 is a deficient number, since it is larger than the sum of its proper divisors (1).

257854133 is an equidigital number, since it uses as much as digits as its factorization.

257854133 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 100800, while the sum is 38.

The square root of 257854133 is about 16057.8371208578. The cubic root of 257854133 is about 636.4896788202.

The spelling of 257854133 in words is "two hundred fifty-seven million, eight hundred fifty-four thousand, one hundred thirty-three".