257755133 has 2 divisors, whose sum is σ = 257755134. Its totient is φ = 257755132.

The previous prime is 257755087. The next prime is 257755171. The reversal of 257755133 is 331557752.

It is an a-pointer prime, because the next prime (257755171) can be obtained adding 257755133 to its sum of digits (38).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 250209124 + 7546009 = 15818^2 + 2747^2 .

It is a cyclic number.

It is not a de Polignac number, because 257755133 - 2⁸ = 257754877 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 (257725133) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 128877566 + 128877567.

It is an arithmetic number, because the mean of its divisors is an integer number (128877567).

Almost surely, 2^257755133 is an apocalyptic number.

It is an amenable number.

257755133 is a deficient number, since it is larger than the sum of its proper divisors (1).

257755133 is an equidigital number, since it uses as much as digits as its factorization.

257755133 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 110250, while the sum is 38.

The square root of 257755133 is about 16054.7542179879. The cubic root of 257755133 is about 636.4082108684.

The spelling of 257755133 in words is "two hundred fifty-seven million, seven hundred fifty-five thousand, one hundred thirty-three".