257281893 has 32 divisors (see below), whose sum is σ = 440277120. Its totient is φ = 146753280.

The previous prime is 257281889. The next prime is 257281909. The reversal of 257281893 is 398182752.

It is a happy number.

It is not a de Polignac number, because 257281893 - 2² = 257281889 is a prime.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (257281853) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20430 + ... + 30527.

It is an arithmetic number, because the mean of its divisors is an integer number (13758660).

Almost surely, 2^257281893 is an apocalyptic number.

It is an amenable number.

257281893 is a deficient number, since it is larger than the sum of its proper divisors (182995227).

257281893 is a wasteful number, since it uses less digits than its factorization.

257281893 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50994 (or 50988 counting only the distinct ones).

The product of its digits is 241920, while the sum is 45.

The square root of 257281893 is about 16040.0091334139. The cubic root of 257281893 is about 636.0184891385.

The spelling of 257281893 in words is "two hundred fifty-seven million, two hundred eighty-one thousand, eight hundred ninety-three".