A warm welcome to HP Support Community!
Improper shutdown message can be bypassed by clicking the OK button on the printer control panel or by performing a power reset. Try touching OK on the printer control panel when you see the message, if that doesn't work then try a power reset. Here is how to do it:
1) Make sure this printer is plugged into a direct wall, not a surge protector
2) Remove all of your ink cartridges from the printer and close the door
3) Remove the power cord from the back of the printer (Do no press the power button)
4) Plug the power cord back into the printer
5) Wait for the printer to turn on completely, then install the ink cartridges.
HP Printers are regionalized, If you take your printer from one country/region to another country/region, you might not find ink cartridges with the same number on the label as your original ink cartridges. I believe you have to regional reset the printer in order to start using the ink cartridges available in the country you are located. The following table contains ink cartridge compatibility for the HP Deskjet Ink Advantage 5525 e-All-in-One Printer:
Please call your regional HP Support to perform a regional reset on the printer, you may use the following steps to contact your regional HP Support:
1) Click on this link.
2) Select your product type below.
3) Enter the serial of your device.
4) Select the country from the drop-down.
5) Select the chat or get phone number options based on your preferences.
6) Fill the web-form and proceed further.
Have a great day!