4256491257 has 6 divisors (see below), whose sum is σ = 6148265162. Its totient is φ = 2837660832.

The previous prime is 4256491247. The next prime is 4256491289. The reversal of 4256491257 is 7521946524.

4256491257 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 3566956176 + 689535081 = 59724^2 + 26259^2 .

It is not a de Polignac number, because 4256491257 - 2⁶ = 4256491193 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4256491247) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 236471728 + ... + 236471745.

Almost surely, 2^4256491257 is an apocalyptic number.

It is an amenable number.

4256491257 is a deficient number, since it is larger than the sum of its proper divisors (1891773905).

4256491257 is a wasteful number, since it uses less digits than its factorization.

4256491257 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 472943479 (or 472943476 counting only the distinct ones).

The product of its digits is 604800, while the sum is 45.

The square root of 4256491257 is about 65241.7907249640. The cubic root of 4256491257 is about 1620.6301537969.

The spelling of 4256491257 in words is "four billion, two hundred fifty-six million, four hundred ninety-one thousand, two hundred fifty-seven".