GNU Emacs version 25.3.1 (and other versions most likely) ignores umask when creating a backup save file ("[ORIGINAL_FILENAME]~") resulting in files that may be world readable or otherwise accessible in ways not intended by the user running the emacs binary.
GNU Emacs before 25.3 allows remote attackers to execute arbitrary code via email with crafted "Content-Type: text/enriched" data containing an x-display XML element that specifies execution of shell commands, related to an unsafe text/enriched extension in lisp/textmodes/enriched.el, and unsafe Gnus support for enriched and richtext inline MIME objects in lisp/gnus/mm-view.el. In particular, an Emacs user can be instantly compromised by reading a crafted email message (or Usenet news article).
Stack-based buffer overflow in emacs allows user-assisted attackers to cause a denial of service (application crash) and possibly have unspecified other impact via a large precision value in an integer format string specifier to the format function, as demonstrated via a certain "emacs -batch -eval" command line.