Well, I've just bought my cousin's 5513 (which is on a quick perusal identical, but has a lower crystal, probably a replacement), so I share your love... but the number's a bit of a mystery.
Some Google-ish fun reveals a load of ideas (and, in the way of 6 degrees of separation, I have travelled on Indian train 12676 from Chennai to Coimbatore, and I have published in the Journal of Clinical Microbiology (REF: the first 2):
http://indiarailinfo.com/train/kovai...-mas/955/41/35
http://www.jcm.riken.jp/cgi-bin/jcm/...mber?JCM=12676
http://www.numberempire.com/12676
http://robertson-ancestry.com/data/12676.pdf
http://www.zillow.com/homedetails/12...20469292_zpid/
http://law.onecle.com/california/health/12676.html
http://www.sothebysrealty.com/eng/sa...n-bay-wi-54210
http://pubchem.ncbi.nlm.nih.gov/summ....cgi?cid=12676
http://www.ptglab.com/Products/ARL6-...12676-1-AP.htm
http://www.leginfo.ca.gov/cgi-bin/di...le=12676-12682
http://shop.bsigroup.com/ProductDeta...00000030080544
http://www.slideshare.net/Emildnyust...h-12676-jisu02
http://en.wikisource.org/wiki/Executive_Order_12676
etc etc
Hours of harmless fun, but very few of them seem likely links!