Budget airlines usually require passengers with large bags to prove that they'll fit into the measuring cradle by the check-in gates. If it doesn't fit you'll either have to pay a hefty fee to have it placed in the hold or, if the loading of hold baggage has ended, choose between travelling without it or missing your flight.
I'm assuming that the 'inches' in your post actually means 'centimetres'. In which case the 53cm you've quoted exceeds easyJet's GUARANTEED level for carriage within the cabin but is still WITHIN the acceptable limit for carriage on the plane. (i.e. they WILL take it, and consider it to be your free cabin baggage allowance but, due to limited space in the overhead lockers, it MIGHT have to go into the hold on busy flights):
http://www.easyjet.com/en/planning/cabin-baggage
The bag you want would meet the requirements of Ryanair
http://www.ryanair.com/en/terms-and-conditions/regulations-cabinbaggage/
but only the first 90 such bags can actually be carried in the cabin; others are placed in the hold.