This has been a question for many years from small businesses to high profile advertisers. The answer is simply, no. Google does not give any special treatment for those who spend a lot of money on AdWords advertising because that would really be an unfair practice. Everyone is on the same level playing field and just because you have deep pockets does not mean you are going to get any special treatment on the organic side of the equation.
In this video Matt Cutts discusses the relationship between organic search and Google AdWords.