The R513 is a Regional Route in South Africa that connects Hartbeespoort with Bronkhorstspruit via Akasia, Pretoria North and Cullinan.

[1] It meets with Pretoria's M17 metropolitan route (Horns Nek) at a staggered junction (cosigned for 400 metres northwards) before continuing eastwards through the suburbs of Akasia (as Brits Road; where it meets the R80 Mabopane Highway) and Pretoria North (as Rachel de Beer Street).

It runs through the Wonderboom, Sinoville, Magalieskruin and Montana Park suburbs before forming an interchange with the N1/N4 Toll Highway (Pretoria Bypass) and exiting the city.

[1] Just east of the N1 highway interchange (south-west of Kameeldrift), the R513 meets the south-western terminus of the R573 (Moloto Road) from KwaMhlanga and Marble Hall.

It heads for another 13 km, bypassing Zithobeni, to end at a junction with the R104 in Bronkhorstspruit, just east of the town centre and just west of the R104's intersection with the R25.