11129617009 has 15 divisors (see below), whose sum is σ = 12989813963. Its totient is φ = 9535240848.

The previous prime is 11129616997. The next prime is 11129617021. The reversal of 11129617009 is 90071692111.

The square root of 11129617009 is 105497.

It is a perfect power (a square), and thus also a powerful number.

11129617009 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 (11129616997) and next prime (11129617021).

It can be written as a sum of positive squares in only one way, i.e., 821682225 + 10307934784 = 28665^2 + 101528^2 .

It is not a de Polignac number, because 11129617009 - 2¹³ = 11129608817 is a prime.

It is not an unprimeable number, because it can be changed into a prime (11129617309) 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 14 ways as a sum of consecutive naturals, for example, 5168277 + ... + 5170429.

Almost surely, 2^11129617009 is an apocalyptic number.

11129617009 is the 105497-th square number.

11129617009 is the 52749-th centered octagonal number.

It is an amenable number.

11129617009 is a deficient number, since it is larger than the sum of its proper divisors (1860196954).

11129617009 is an frugal number, since it uses more digits than its factorization.

11129617009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4334 (or 2160 counting only the distinct ones).

The product of its (nonzero) digits is 6804, while the sum is 37.

The spelling of 11129617009 in words is "eleven billion, one hundred twenty-nine million, six hundred seventeen thousand, nine".