Security considerations for relational database management systems include data security, encryption, access control, authentication, data masking, separate database servers, and backups. Data security safeguards information from unauthorized access and modification, while encryption ensures data confidentiality. Access control limits unauthorized access to databases and objects. Authentication verifies user credentials stored in the database. Data masking protects sensitive data, and separate database servers enhance security. Backups are essential for safeguarding against threats like ransomware.