257216533 has 12 divisors (see below), whose sum is σ = 299827980. Its totient is φ = 220016832.

The previous prime is 257216513. The next prime is 257216539. The reversal of 257216533 is 335612752.

It can be written as a sum of positive squares in 2 ways, for example, as 160351569 + 96864964 = 12663^2 + 9842^2 .

It is not a de Polignac number, because 257216533 - 2⁵ = 257216501 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (257216539) 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 in 11 ways as a sum of consecutive naturals, for example, 19785 + ... + 30097.

It is an arithmetic number, because the mean of its divisors is an integer number (24985665).

Almost surely, 2^257216533 is an apocalyptic number.

It is an amenable number.

257216533 is a deficient number, since it is larger than the sum of its proper divisors (42611447).

257216533 is a wasteful number, since it uses less digits than its factorization.

257216533 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10836 (or 10829 counting only the distinct ones).

The product of its digits is 37800, while the sum is 34.

The square root of 257216533 is about 16037.9715986779. The cubic root of 257216533 is about 635.9646264426.

The spelling of 257216533 in words is "two hundred fifty-seven million, two hundred sixteen thousand, five hundred thirty-three".