No, I'm not getting response using any of port 25, 465 and 587
[root@server1 ~]# telnet gmail.com 465
Trying 74.125.24.19...
telnet: connect to address 74.125.24.19: Connection timed out
Trying 74.125.24.18...
telnet: connect to address 74.125.24.18: Connection timed out
Trying 74.125.24.17...
^C
[root@server1 ~]# telnet gmail.com 587
Trying 74.125.24.83...
telnet: connect to address 74.125.24.83: Connection timed out
Trying 74.125.24.19...
telnet: connect to address 74.125.24.19: Connection timed out
Trying 74.125.24.18...
^C
[root@server1 ~]#