8513257 has 2 divisors, whose sum is σ = 8513258. Its totient is φ = 8513256.

The previous prime is 8513237. The next prime is 8513291. The reversal of 8513257 is 7523158.

8513257 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 8503056 + 10201 = 2916^2 + 101^2 .

It is a cyclic number.

It is not a de Polignac number, because 8513257 - 2⁷ = 8513129 is a prime.

It is not a weakly prime, because it can be changed into another prime (8513207) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 4256628 + 4256629.

It is an arithmetic number, because the mean of its divisors is an integer number (4256629).

Almost surely, 2^8513257 is an apocalyptic number.

It is an amenable number.

8513257 is a deficient number, since it is larger than the sum of its proper divisors (1).

8513257 is an equidigital number, since it uses as much as digits as its factorization.

8513257 is an evil number, because the sum of its binary digits is even.

The product of its digits is 8400, while the sum is 31.

The square root of 8513257 is about 2917.7486183700. The cubic root of 8513257 is about 204.1887990075.

Subtracting from 8513257 its reverse (7523158), we obtain a palindrome (990099).

The spelling of 8513257 in words is "eight million, five hundred thirteen thousand, two hundred fifty-seven".