11591257 has 2 divisors, whose sum is σ = 11591258. Its totient is φ = 11591256.

The previous prime is 11591243. The next prime is 11591267. The reversal of 11591257 is 75219511.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 7733961 + 3857296 = 2781^2 + 1964^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-11591257 is a prime.

It is equal to p₇₆₂₉₃₄ and since 11591257 and 762934 have the same sum of digits, it is a Honaker prime.

It is not a weakly prime, because it can be changed into another prime (11591207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5795628 + 5795629.

It is an arithmetic number, because the mean of its divisors is an integer number (5795629).

Almost surely, 2^11591257 is an apocalyptic number.

It is an amenable number.

11591257 is a deficient number, since it is larger than the sum of its proper divisors (1).

11591257 is an equidigital number, since it uses as much as digits as its factorization.

11591257 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 3150, while the sum is 31.

The square root of 11591257 is about 3404.5935146505. The cubic root of 11591257 is about 226.3133526281.

The spelling of 11591257 in words is "eleven million, five hundred ninety-one thousand, two hundred fifty-seven".