This error is caused by a default Exchange server settings preventing the movement of a large message/attachment.

Exchange servers have their own attachment size limits that restrict the size of messages/attachments that can be injected into Exchange mailboxes.

When the attachment limit is exceeded during injection, (507) insufficient storage errors will be generated.

How do I remove this error?

These instructions below are intended for a technical person with an understanding of Microsoft Exchange Server. 

Please seek approval from the email servers administrator before making any changes. The server administrator should check and make sure that the commands are correct and appropriate for your environment.

Please see the following links for instructions on how to resolve this issue

Exchange 2007     Click here

Exchange 2010     Click here

Exchange 2013     Click here

Exchange 2016     Click here

Office 365             Click here