You Do Need power plug adapter while traveling from Saudi Arabia to Burundi.

Here is Why You Need An Adapter

The outlet and plug type used in Burundi are C and E and in Saudi Arabia is G. This is how they look like.

Saudi Arabia

In Saudi Arabia, outlets of type G are in use.

Type G

Burundi

In Burundi, outlets of type C and E are in use.

Type C

Type E