11506209289 has 9 divisors (see below), whose sum is σ = 11687807271. Its totient is φ = 11327395200.

The previous prime is 11506209257. The next prime is 11506209311. The reversal of 11506209289 is 98290260511.

The square root of 11506209289 is 107267.

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

It can be written as a sum of positive squares in only one way, i.e., 11477479689 + 28729600 = 107133^2 + 5360^2 .

It is not a de Polignac number, because 11506209289 - 2⁵ = 11506209257 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11506209089) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 7186089 + ... + 7187689.

Almost surely, 2^11506209289 is an apocalyptic number.

11506209289 is the 107267-th square number.

11506209289 is the 53634-th centered octagonal number.

It is an amenable number.

11506209289 is a deficient number, since it is larger than the sum of its proper divisors (181597982).

11506209289 is an frugal number, since it uses more digits than its factorization.

11506209289 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3336 (or 1668 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 43.

The spelling of 11506209289 in words is "eleven billion, five hundred six million, two hundred nine thousand, two hundred eighty-nine".