If you clean the sides of the chain, you'll eventually find the size stamped on it. My old RK chain took about 10 links before bingo but the current KMC chain has it on each one.
Being a 250 it's probably a 520 pitch size, but might be running the lighter 428 like my FXR does. You might also be able to get a hint from the numbers on the sprockets as to which pitch it is.
As for length, the FXR required 130 (I think) link length, which is, standard size without having to buy extra extension links.
As for type, depends how much you are willing to spend and what kind of life you're expecting from the chain. It basically boils down to two types, sealed and unsealed. There is your o/x/w/etc ring sealed chains and then your unsealed heavy duty chains. Then you get into the realm of brands too. There's plenty of info on the web and kb about that.
Best go to a shop who's willing to have a look and take it from there. Suzuki would be the best place to stop at first because they'd have it whilst other shops wouldn't. I know that was the problem with my FXR, only Suzuki had the published information because the FXR isn't very widely sold Internationally i.e. Europe and the States. Once you know the figures, then you can take those figures to the other shops. Makes life so much easier.
Still got the owner manual which came with the bike, it's all in there.
Don't forget to do change the sprockets at the same time as the chain.
Hope that gives you some food for thought.
90% of the time spent writing this post was spent thinking of something witty to say. It may have been wasted.
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