Why does my pc not see my new HP 6520 unless I reconnect the printer each time I need to use it?

Question

New HP 6520 is driving me mad.  It remains connected to my wi-fi solidly all the time, but my HP notebook (Windows 7) cannot see it unless and until I go through the wireless setup on the printer using the same IP etc. 
I have added the HP printer software to the firewall (Norton) traffic rules and added its IP address to my router, to no avail.  Otherwise it remains invisible to the rest of the network, which is a huge, huge pain.
Bottom line - I cannot print or scan or use the printer, despite the fact that it remains solidly connected to my network unless I reconnect it from the printer control panel. Seldom have I come across a more user unfiendly piece of kit and would much appreciate someone giving me a steer as to making the darned thing work as it should.

Answer 1

And that, dear cns518, is exactly what I am going to do and never again think of HP when it comes to buying a printer.  My son, very experienced, runs his own internet business and he had a go and got it working for a while and then, without reason it stopped again and has reverted to 'you want to print matey?,  ,Then best you turn off Wi-FI and then back on again and I might think about it'.
The printer mechanics seem good, but what is the point of such a useless software setup that none seem able to get right.  Am off to the store from whence it came tomorrow, so bye-bye HP 6520 and over to something that will work out of the box.