257450033 has 12 divisors (see below), whose sum is σ = 267695820. Its totient is φ = 247560192.

The previous prime is 257450027. The next prime is 257450059. The reversal of 257450033 is 330054752.

It can be written as a sum of positive squares in 6 ways, for example, as 1993744 + 255456289 = 1412^2 + 15983^2 .

It is not a de Polignac number, because 257450033 - 2¹⁶ = 257384497 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 257449978 and 257450005.

It is not an unprimeable number, because it can be changed into a prime (257450833) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 120785 + ... + 122897.

It is an arithmetic number, because the mean of its divisors is an integer number (22307985).

Almost surely, 2^257450033 is an apocalyptic number.

It is an amenable number.

257450033 is a deficient number, since it is larger than the sum of its proper divisors (10245787).

257450033 is an equidigital number, since it uses as much as digits as its factorization.

257450033 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2276 (or 2239 counting only the distinct ones).

The product of its (nonzero) digits is 12600, while the sum is 29.

The square root of 257450033 is about 16045.2495462053. The cubic root of 257450033 is about 636.1570101721.

The spelling of 257450033 in words is "two hundred fifty-seven million, four hundred fifty thousand, thirty-three".