The 514 was produced from 1948 until 1970. Approx 757,624 model 514's were produced
How many with the Routledge bore is unknown, They were made for pest shooting (barn rats etc) and target shooting. Out of approaching a million rifles I'm sure at least quite a few were made, So your definition of rare is relevant here. Its not like you can go get one at Wally world, but if you wanted one it could be found. I'm no expert on the model, but I would bet an exemplary specimen could be had for under $500.00 Hope this helps.
See related link 'Remington 514 photo'
remington model 512 value, as with all items, depends on condition. how good in the finish, wood, bore. Any rust/pitts. between $75 - $100 if good
There would be to many combinations to include in this answer.the Remington model 514 was made from 1948-1971. Look at related links for a explaination and table on the Remington Society of America.
50-300
75-150 based on condition
See related links for information and look-up table on the Remington Society of America.
I have a Remington 22 long or short Rifle Model 514 pat# 214901322 ABO? What year was this made.
The 514 was made from 1948-1970 so they are all date code stamped on the barrel, see related links.
$100-$150 in top condition. sales@countrygunsmith.net
Bolt Action .22 single shot rifle made from 1948-1970.
Introduction Year: 1948 Year Discontinued:1970
Yes, but you have to drill and tap.