/usr/lib/x86_64-linux-gnu/libsqlite3.so is in libsqlite3-dev 3.7.9-2ubuntu1.2.
This file is owned by root:root, with mode 0o777.
It is a symlink to /usr/lib/x86_64-linux-gnu/libsqlite3.so.0.8.6
/usr/lib/x86_64-linux-gnu/libsqlite3.so.0.8.6