The Rettie listing attracted more than 16,000 unique visits on its website.
The multi-millionaire writer moved from the eight-bedroom Merchiston home to a house in Barnton in 2009.
The author of the bestselling book series about a boy wizard lived with her husband Dr Neil Murray and her three children at the Merchiston property.
The stone-built house is on two floors and also has an office building.
In the prospectus for the property, the home is described as being situated in "one of Edinburgh's most exclusive conservation areas".
It has a "discreet landscaped and walled garden" and had undergone a redesign to "complement retained Victorian period features".
It also has a summerhouse, various outhouses and a double garage.
James Whitson, a director of Rettie, said despite 65% of the web visits originating from overseas, those who viewed the property and noted interest were Scottish-based businessmen.
He said: "This was an iconic house in Edinburgh and it was a privilege to be entrusted with its sale.
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