11583509077 has 16 divisors (see below), whose sum is σ = 13283914752. Its totient is φ = 9894574080.

The previous prime is 11583509071. The next prime is 11583509083. The reversal of 11583509077 is 77090538511.

11583509077 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (11583509071) and next prime (11583509083).

It is a cyclic number.

It is not a de Polignac number, because 11583509077 - 2¹⁵ = 11583476309 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11583509071) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2721483 + ... + 2725735.

It is an arithmetic number, because the mean of its divisors is an integer number (830244672).

Almost surely, 2^11583509077 is an apocalyptic number.

It is an amenable number.

11583509077 is a deficient number, since it is larger than the sum of its proper divisors (1700405675).

11583509077 is an equidigital number, since it uses as much as digits as its factorization.

11583509077 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5508.

The product of its (nonzero) digits is 264600, while the sum is 46.

The spelling of 11583509077 in words is "eleven billion, five hundred eighty-three million, five hundred nine thousand, seventy-seven".