Samsung Galaxy Note 3 Neo LTE (SM-N7509V) Firmware Overview
What is the latest SM-N7509V firmware?
N7509VKEUAOA2, released February 2, 2015 with Android 4.3. The archive holds 2 official builds across 1 region (CSC). Each one is the full stock ROM (flash file) for Odin, not an OTA patch.
Is the Samsung Galaxy Note 3 Neo LTE still getting updates?
Most likely not: there has been no new firmware since February 2015, so Android 4.3 is the last version this model got. The final builds below are still the best choice for a clean reinstall.
All SM-N7509V firmware builds
How to Flash SM-N7509V Firmware
Put the Samsung Galaxy Note 3 Neo LTE into Download Mode, load the BL, AP, CP and CSC files into Odin on a Windows PC and press Start. Use HOME_CSC to keep your data, CSC for a full wipe.