How would the weather from a permanent Cat5 hurricane (specifically with sustained 500 mph winds) that spans a 2000-mile area (across the hurricane's diameter) be impacted on continents roughly 500 miles to the north, south, and east?
I know that hurricanes pull in the moisture from all around them and drop the temperatures in the oceans below them, and to a lesser extent even in the air as the pressure pulls the cooler water up into the air from the ocean below. I am not sure how far this would really extend outward though, especially for a storm this size - I think the largest storm that has ever formed on earth so far has only been approximately 1000 miles across. So, what I'm trying to figure out is whether or not the nearby continents would receive more rain, less rain, continuous rain, or possibly no rain at all. I am also trying to figure out the storm surge impact. According to several sources I found, the storm surge can impact hundreds of miles of coast line, but how far away would this start. Is 500 miles out to sea too far for the storm surge to have an impact on the continents? Or would they receive a constant storm surge on one side and not the other side of the hurricane?
For a visual representation, this is basically a super-hurricane as previously described in size and strength that sits in the middle of an ocean basin and ranges anywhere from 500 to 1000 miles from three of my primary continents on the planet, and I know it's going to impact my weather patterns, but I cannot find enough information to figure out a rough general approximation for each area. I have the basics for in close to it for the ocean itself and the basic winds and intense rain, but I need some basis for further out as it reaches the continents.
EDIT UPDATE: Thanks for all the answers. The hurricane is permanent (supernatural in origins). @elemtilas..It is close to the middle of the ocean. There is a map located here:
Thanks for any help.