ISPmanager 5 does not work any outgoing mail?

Question

linux

Do I understand correctly that out of the box, outgoing SMTP mail should work, at least the mail(php) function. Installed on Debian, Centos and even Ubuntu.
Incoming mail works, error 550 slipped through outgoing SMTP. The mail(php) function also does not send anything. Hardly a problem with the server, because. once from the panel it was possible to send a message, in the GeoIP settings, the panel sends mail.
Someone faced similar? Tell me, please, where to look. There didn't seem to be anything interesting in the Exim logs.
/var/log/exim4/mainlog

2015-11-19 11:58:20 no IP address found for host dsl-94-233-73-75.avtlg.ru (during SMTP connection from [94.233.73.75])
2015-11-19 11:58:21 H=(sanespc) [94.233.73.75] F=<[email protected]> rejected RCPT <[email protected].ru>: relay not permitted

Logs
I send from Outlook 2010 mail client!!!

Answer 1

pay attention to the correct setting of ptr records, domains, mail server logs.

Answer 2

Show the Exim logs.
550 happens for various reasons - usually in the logs there is an explanation why it does not work

Answer 3

letters are not sent from the server or do not appear in the recipient's mailbox?
See also /var/log/maillog

Answer 4

I apologize for the necrophilia...)
Almost all hosting providers close ports 465 and 25 for all new users to counter spammers