11133577505 has 8 divisors (see below), whose sum is σ = 13361938152. Its totient is φ = 8905765248.

The previous prime is 11133577489. The next prime is 11133577531. The reversal of 11133577505 is 50577533111.

11133577505 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 259467664 + 10874109841 = 16108^2 + 104279^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 11133577505 - 2⁴ = 11133577489 is a prime.

It is a Duffinian number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 91022 + ... + 174791.

It is an arithmetic number, because the mean of its divisors is an integer number (1670242269).

Almost surely, 2^11133577505 is an apocalyptic number.

It is an amenable number.

11133577505 is a deficient number, since it is larger than the sum of its proper divisors (2228360647).

11133577505 is an equidigital number, since it uses as much as digits as its factorization.

11133577505 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 274195.

The product of its (nonzero) digits is 55125, while the sum is 38.

The spelling of 11133577505 in words is "eleven billion, one hundred thirty-three million, five hundred seventy-seven thousand, five hundred five".