We have completely mapped the Galactic globular cluster NGC 1851 with large-field , ground-based VI CCD photometry and pre-repair HST /WFPC1 data for the central region . The photometric data set has allowed a V vs . ( V - I ) colour–magnitude diagram for \sim 20500 stars to be constructed . From the apparent luminosity of the horizontal branch ( HB ) we derive a true distance modulus ( m - M ) _ { 0 } = 15.44 \pm 0.20 . An accurate inspection of the cluster ’ s bright and blue objects confirms the presence of seven “ supra-HB ” stars , six of which are identified as evolved descendants from HB progenitors . The HB morphology is found to be clearly bimodal , showing both a red clump and a blue tail , which are not compatible with standard evolutionary models . Synthetic Hertzsprung–Russell ( HR ) diagrams demonstrate that the problem could be solved by assuming a bimodal efficiency of the mass loss along the red giant branch ( RGB ) . With the aid of Kolmogorov–Smirnov statistics we find evidence that the radial distribution of the blue HB stars is different from that of the red HB and subgiant branch ( SGB ) stars . We give the first measurement of the mean absolute I magnitude for 22 known RR Lyr variables ( < M _ { I } ( { RR } ) > = 0.12 \pm 0.20 mag at a metallicity [ Fe/H ] = –1.28 ) . The mean absolute V magnitude is < M _ { V } ( RR ) > = 0.58 \pm 0.20 mag , and we confirm that these stars are brighter than those of the zero-age HB ( ZAHB ) . Moreover , we found seven new RR Lyr candidates ( six ab type and one c type ) . With these additional variables the ratio of the two types is now N _ { c } / N _ { ab } = 0.38 . From a sample of 25 globular clusters a new calibration for \Delta V _ { bump } ^ { HB } as a function of cluster metallicity is derived . NGC 1851 follows this general trend fairly well . From a comparison with the theoretical models , we also find some evidence for an age–metallicity relation among globular clusters . We identify 13 blue straggler stars , which do not show any sign of variability . The blue stragglers are less concentrated than the subgiant branch stars with similar magnitudes for r > 80 arcsec . Finally , a radial dependence of the luminosity function , a sign of mass segregation , is found . Transforming the luminosity function into a mass function ( MF ) and correcting for mass segregation by means of multi-mass King–Michie models , we find a global MF exponent x _ { 0 } = 0.2 \pm 0.3 .