256848257 has 16 divisors (see below), whose sum is σ = 275970240. Its totient is φ = 238199808.

The previous prime is 256848233. The next prime is 256848269. The reversal of 256848257 is 752848652.

256848257 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 256848257 - 2²⁰ = 255799681 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (256848217) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 612794 + ... + 613212.

It is an arithmetic number, because the mean of its divisors is an integer number (17248140).

Almost surely, 2^256848257 is an apocalyptic number.

It is an amenable number.

256848257 is a deficient number, since it is larger than the sum of its proper divisors (19121983).

256848257 is a wasteful number, since it uses less digits than its factorization.

256848257 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 880.

The product of its digits is 1075200, while the sum is 47.

The square root of 256848257 is about 16026.4861089385. The cubic root of 256848257 is about 635.6609622187.

The spelling of 256848257 in words is "two hundred fifty-six million, eight hundred forty-eight thousand, two hundred fifty-seven".