257140033 has 2 divisors, whose sum is σ = 257140034. Its totient is φ = 257140032.

The previous prime is 257140001. The next prime is 257140057. The reversal of 257140033 is 330041752.

257140033 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 257057089 + 82944 = 16033^2 + 288^2 .

It is a cyclic number.

It is not a de Polignac number, because 257140033 - 2⁵ = 257140001 is a prime.

It is a super-2 number, since 2×257140033² = 132241993142482178, which contains 22 as substring.

It is equal to p_14048233 and since 257140033 and 14048233 have the same sum of digits, it is a Honaker prime.

It is not a weakly prime, because it can be changed into another prime (257140073) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 128570016 + 128570017.

It is an arithmetic number, because the mean of its divisors is an integer number (128570017).

Almost surely, 2^257140033 is an apocalyptic number.

It is an amenable number.

257140033 is a deficient number, since it is larger than the sum of its proper divisors (1).

257140033 is an equidigital number, since it uses as much as digits as its factorization.

257140033 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2520, while the sum is 25.

The square root of 257140033 is about 16035.5864563788. The cubic root of 257140033 is about 635.9015717634.

Adding to 257140033 its reverse (330041752), we get a palindrome (587181785).

The spelling of 257140033 in words is "two hundred fifty-seven million, one hundred forty thousand, thirty-three".