/etc/java-6-openjdk/ is in openjdk-6-jre-headless 6b31-1.13.3-1ubuntu1.
This file is owned by root:root, with mode 0o755.
..
/etc/java-6-openjdk/accessibility.properties
/etc/java-6-openjdk/calendars.properties
/etc/java-6-openjdk/content-types.properties
/etc/java-6-openjdk/flavormap.properties
/etc/java-6-openjdk/fontconfig.properties
/etc/java-6-openjdk/images/
/etc/java-6-openjdk/images/cursors/
/etc/java-6-openjdk/images/cursors/cursors.properties
/etc/java-6-openjdk/jvm-amd64.cfg
/etc/java-6-openjdk/logging.properties
/etc/java-6-openjdk/management/
/etc/java-6-openjdk/management/jmxremote.access
/etc/java-6-openjdk/management/jmxremote.password
/etc/java-6-openjdk/management/management.properties
/etc/java-6-openjdk/management/snmp.acl
/etc/java-6-openjdk/net.properties
/etc/java-6-openjdk/psfont.properties.ja
/etc/java-6-openjdk/psfontj2d.properties
/etc/java-6-openjdk/security/
/etc/java-6-openjdk/security/java.policy
/etc/java-6-openjdk/security/java.security
/etc/java-6-openjdk/security/nss.cfg
/etc/java-6-openjdk/sound.properties
/etc/java-6-openjdk/swing.properties
/etc/java-6-openjdk/tz.properties