The 2 letters in your serial number(NR) indicate that your Browning 325 grade VI was made in the year 1997.
The 2 letters NZ at the end of your serial number indicates that your Browning 325 shotgun was made in the year 1991.
@ 15 years old
A citori 325
To answer your question the serial number tells you that it dates back to 1903 the first year of this production.
Your serial number dates your shotguns year of production to 1953.The value will range in price from 325-375 for a plain barrel model,375-450 dollars for a solid matte rib barrel model,and 475-550 dollars for a vent rib barrel model.
I believe that the suffix ny relates to the year 1992
Your serial number indicates that your shotgun was made in the year 1954.Your shotguns value will be between 325-375 dollars for the plain barrel model,375-450 dollars for the solid matte ribbed barrel model,and 475-550 dollars for the vent rib barrel model.
I do not believe the model 325's were manufactured after 1968. Therefore they required no serial number and yours may not have one. If it did have a serial number it would be on the receiver.
The markings on the receiver and barrel will tell.