/usr/lib/mono/4.5/Mono.Data.Sqlite.dll is in libmono-sqlite4.0-cil 4.6.2.7+dfsg-1ubuntu1.
This file is owned by root:root, with mode 0o777.
It is a symlink to /usr/lib/mono/4.5/../gac/Mono.Data.Sqlite/4.0.0.0__0738eb9f132ed756/Mono.Data.Sqlite.dll