Deleting core file in /dbs

bash-3.2$ ls -la core

-rw-------   1 root     root     34609895010 Jan 26  2016 core

bash-3.2$ du -sh core

  12G   core

bash-3.2$ pwd

/u01/app/oracle/product/11.2.0/dbhome_1/dbs

The core file was last updated Jan 26. As I always fixed problem as they arrive, I think I no longer need this file. Question is:

1) Can I delete it or should I zero it (as in $ > core)

2) Why the owner is root root instead of oracle oinstall like many core files in cdmp?