257693833 has 2 divisors, whose sum is σ = 257693834. Its totient is φ = 257693832.

The previous prime is 257693831. The next prime is 257693879. The reversal of 257693833 is 338396752.

It is an a-pointer prime, because the next prime (257693879) can be obtained adding 257693833 to its sum of digits (46).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 140469904 + 117223929 = 11852^2 + 10827^2 .

It is a cyclic number.

It is not a de Polignac number, because 257693833 - 2¹ = 257693831 is a prime.

It is a super-2 number, since 2×257693833² = 132812223132463778, which contains 22 as substring.

Together with 257693831, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (257693831) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 128846916 + 128846917.

It is an arithmetic number, because the mean of its divisors is an integer number (128846917).

Almost surely, 2^257693833 is an apocalyptic number.

It is an amenable number.

257693833 is a deficient number, since it is larger than the sum of its proper divisors (1).

257693833 is an equidigital number, since it uses as much as digits as its factorization.

257693833 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 816480, while the sum is 46.

The square root of 257693833 is about 16052.8450126450. The cubic root of 257693833 is about 636.3577561133.

The spelling of 257693833 in words is "two hundred fifty-seven million, six hundred ninety-three thousand, eight hundred thirty-three".