
Samsung Galaxy Note3 Neo
The latest firmware for Samsung Galaxy Note3 Neo (SM-N7505) is N7505XXUDPF1 with Android 5.1.1 (Lollipop), released on June 13, 2016 for 7 regions (CSC). Every official firmware build for SM-N7505, newest first: one row per build with all regions (CSC) that received it.
SM-N7505 started on Android 4 and has received 1 major Android upgrade; it now runs Android 5.1.1 (Lollipop). The newest build, N7505XXUDPF1, was released on June 13, 2016. No new build has appeared for 126 months, so regular updates for this model have most likely ended.
Box codes of SM-N7505 for different colors and markets. Firmware is chosen by the model code SM-N7505 and your region (CSC), not by the SKU.

SM-N920AZW

SM-N920VZW

SM-N950UZK

SM-N920AZK

SM-N950X

SM-N930V

SM-N9300

SM-N930S
The newest firmware for SM-N7505 runs Android 5.1.1 (Lollipop): build N7505XXUDPF1, released on June 13, 2016.
The latest build for SM-N7505, N7505XXUDPF1, was released on June 13, 2016 (10 years ago).
SM-N7505 has had no new firmware for 126 months, so regular updates have most likely ended.
Yes, all firmware files for SM-N7505 are 100% official, original, and obtained directly from Samsung servers.
To flash SM-N7505, you need to download the appropriate firmware, put your device into Download Mode, and use the Odin tool to load the BL, AP, CP, and CSC files.
Downgrading is only possible if the bootloader version (binary bit) of the old firmware matches the current one. Always check the binary version before flashing SM-N7505.