Azerbaijan are available at 27/1 on Betfair as I type.
They joined Eurovision in 2008. Their record is 8th, 3rd, 5th, 1st, 4th, 2nd.
Azerbaijan is an oil rich country that spends a lot of money abroad promoting themselves as 'The Land of Fire', much as the oil rich countries do in the Middle East.
The Eurovision is one of their favourite things and is the most watched programme on Azeri tv despite being on after midnight, due to time differences.
So they spend a lot of thier entries, getting very professional acts and production. That's all great but the great thing is, they cheat. The votes are 50% from national juries and 50% from phone votes. They bribe the national juries and they recruit networks of people to do the phone voting. Money is no object.
https://www.youtube.com/watch?v=7ojSKQamf-E (cut to about 7min in but it's all a bit boring)
The Eurovision has said they will ban countries who are found to be engaged in cheating but meh, I don't think they just want to be seen to be doing the right thing and really want to sweep it under the carpet.
Oh, the song? Yeah, who cares but here it is anyway. Not great but they cheeeeeeeeeeeeeeeat so it doesn't matter
https://www.youtube.com/watch?v=ipQswujA5gw