11585257 has 2 divisors, whose sum is σ = 11585258. Its totient is φ = 11585256.

The previous prime is 11585221. The next prime is 11585281. The reversal of 11585257 is 75258511.

11585257 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 11532816 + 52441 = 3396^2 + 229^2 .

It is a cyclic number.

It is not a de Polignac number, because 11585257 - 2⁷ = 11585129 is a prime.

It is not a weakly prime, because it can be changed into another prime (11585207) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5792628 + 5792629.

It is an arithmetic number, because the mean of its divisors is an integer number (5792629).

Almost surely, 2^11585257 is an apocalyptic number.

It is an amenable number.

11585257 is a deficient number, since it is larger than the sum of its proper divisors (1).

11585257 is an equidigital number, since it uses as much as digits as its factorization.

11585257 is an evil number, because the sum of its binary digits is even.

The product of its digits is 14000, while the sum is 34.

The square root of 11585257 is about 3403.7122381306. The cubic root of 11585257 is about 226.2742969135.

The spelling of 11585257 in words is "eleven million, five hundred eighty-five thousand, two hundred fifty-seven".