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We analyze all X-ray timing data on 1E 1207.4-5209 in supernova remnant PKS1209-51/52 gathered in 2000-2005, and find a highly stable rotation withP=424.130451(4) ms and period derivative of (9.6 +/- 9.4)E-17 s/s. This refutesprevious claims of large timing irregularities in these data. In the dipolespin-down formalism, the 2-sigma upper limit on period derivative implies anenergy loss rate < 1.5E32 ergs/s, surface magnetic field strength B_p < 3.5E11G, and characteristic age tau > 24 Myr. This tau exceeds the remnant age by 3orders of magnitude, requiring that the pulsar was born spinning at its presentperiod. The X-ray luminosity of 1E 1207.4-5209, L(bol) ~= 2E33 ergs/s at 2 kpc,exceeds its spin-down energy loss, implying that L(bol) derives from residualcooling, and perhaps partly from accretion of supernova debris. The upper limiton B_p is small enough to favor the electron cyclotron model for at least oneof the prominent absorption lines in its soft X-ray spectrum. This is thesecond demonstrable case of a pulsar born spinning slowly and with a weakB-field, after PSR J1852+0040 in Kesteven 79.

Precise Timing of the X-ray Pulsar 1E 1207.4-5209: A Steady Neutron Star Weakly Magnetized at Birth