Having just gone through this exercise myself, let me share with you how it worked out for me.
I have a one ton SRW (Ram 3500) GRAWR is 7000 lbs, Payload is (if I recall) in the neighborhood of 3600lbs). I just don't have that number in front of me.
I added spray in bed liner, and Retrax tonneau cover. Weighed truck with me, liner, and tonneau cover. Remaining payload was 3460 Remaining Axle weight available was 3740.
I added my hitch, Pull Rite OEM Puck style auto slider - 300 lbs. Down to 3160 payload, and 3440 rear axle.
New trailer is Grand Design Reflection 367BHS. Pretty heavy trailer. GVWR for trailer is 14995. Dry weight of trailer (brochure/listed) is 12474 and dry pin weight is 2665.
My actual dry weight (as weighed on CatScale the day I purchased) was actually 12740, and pin weight was 2620. So, close but not exact. But, again, as many point out, disregard dry numbers. I weighed it so I would know how much "stuff" I loaded.
Bought a new mattress that weighed about 60lbs shipped. Added 400 lbs of "stuff" in the front storage (I previously loaded it in bed of my truck and weighed it). Loaded the rest of our "stuff" in trailer.
Went camping this weekend. Loaded weights
Trailer: 13880
Pin Weight: 3060 (22%)
Rear Axle remaining capacity: 380 lbs
Payload: 20 lbs over payload
My "stuff" weighed 1140
This was with NO water in fresh water tank. In my trailer the water tank is behind rear axles, so, if I put water in the tank, it will take some off the pin.
So, with my 1 ton SRW, I am technically over capacity (Payload) by 20 lbs, with a 5er that total weight is just under 14000lbs. Not what I expected honestly. I thought I'd have more remaining capacity. This is my first 5er.
So, heed the advice of the vastly more experienced group that you (and I). If you are talking about towing basically the same weight (13500 or so) with a 2500, I seriously question whether that will work.
Mike