In reply to Mick r:
> surprised, I thought most carriers used sticky IP's these days. I've had the same public IP for ages. Also, the website wouldn't have access to all the other traffic from the IP, only traffic directed towards itself, so the suggestion is that the person who had the Public IP before sent a load of data to this specific service, then you picked up the IP and happened to use the very same website?
No. The point is that the deployment of so-called 'carrier-grade NAT' means that many different people can be simultaneously using the same external IPv4 address. (The end result is analogous to multiple devices within one household simultaneously using the same external IPv4 address, via conventional NAT.)