The counter has a delay in updating the number of views. This seems to apply for both threads and profiles, and probably works the same way for blogs.
From what I can tell, this is beneficial to the board's performance. Since there are so many views going on at once, updating them at different times can lessen the load on the server.
I also did a quick search on the Internet. This thread, on Invision Power's site, gives a good idea of what's going on.
I did some digging, and found an old thread with the same question. According to Feld0, the maximum character limit is 1,048,576 characters, the equivalent of one megabyte.