11588041 has 2 divisors, whose sum is σ = 11588042. Its totient is φ = 11588040.

The previous prime is 11588039. The next prime is 11588051. The reversal of 11588041 is 14088511.

11588041 is digitally balanced in base 3, 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., 11532816 + 55225 = 3396^2 + 235^2 .

It is a cyclic number.

It is not a de Polignac number, because 11588041 - 2¹ = 11588039 is a prime.

Together with 11588039, it forms a pair of twin primes.

It is equal to p₇₆₂₇₃₃ and since 11588041 and 762733 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 (11588051) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5794020 + 5794021.

It is an arithmetic number, because the mean of its divisors is an integer number (5794021).

Almost surely, 2^11588041 is an apocalyptic number.

It is an amenable number.

11588041 is a deficient number, since it is larger than the sum of its proper divisors (1).

11588041 is an equidigital number, since it uses as much as digits as its factorization.

11588041 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1280, while the sum is 28.

The square root of 11588041 is about 3404.1211788067. The cubic root of 11588041 is about 226.2924204415.

It can be divided in two parts, 115880 and 41, that added together give a triangular number (115921 = T₄₈₁).

The spelling of 11588041 in words is "eleven million, five hundred eighty-eight thousand, forty-one".