Requirements to run for the public office

The president of the United States must be:

• Be a natural-born citizen of the United States
• Be at least 35 years of age, and
• Be a resident of the United States for at least 14 years.

[U.S. Constitution, Article 2, Section 2, Paragraph 5]

Born outside the U.S.?

It's widely accepted that this applies also to citizens who are born outside the USA to parents who are US Citizens under the natural born requirements:

Citizens born in Guam, Puerto Rico, and the U.S. Virgin Islands are legally defined as 'natural born' citizens, and are, therefore, also eligible to be elected President, provided they meet qualifications of age and 14 years residence within the United States. Residence in Puerto Rico and U.S. territories and possessions does not qualify as residence within the United States for these purposes.

[U.S. Library of Congress, Congressional Research Service, U.S. Insular Areas and Their Political Development, by Andorra Bruno and Garrine P. Laney, CRS Report 96-578GOV (Washington: Jun. 17, 1996), pp. 9, 21, 33].

Senate candidates shall be

• at least 30 years of age,
• a U.S. citizen for nine years, and
• a resident of the state when elected.

[U.S. Constitution, Article 1, Section 3, Paragraph 3]

House of Representatives candidates shall be

• at least 25 years of age,
• a U.S. citizen for seven years, and
• a resident of the state when elected.

[U.S. Constitution, Article 1, Section 2, Paragraph 2]

State and locally elected officials are subject to the requirements of their jurisdictions.