  We perform correlation and periodicity search analyses on long-term
multi-band light curves of the FSRQ 1510-089 observed by the space-based
Fermi--Large Area Telescope in gamma-rays, the SMARTS and Steward Observatory
telescopes in optical and near-infrared (NIR) and the 13.7 m radio telescope in
Metsahovi Radio Observatory between 2008 and 2018. The z-transform discrete
correlation function method is applied to study the correlation and possible
time lags among these multi band light curves. Among all pairs of wavelengths,
the gamma-ray vs. optical/NIR and optical vs. NIR correlations show zero time
lags; however, both the gamma-ray and optical/NIR emissions precede the radio
radiation. The Generalized Lomb-Scargle periodogram, Weighted Wavelet
Z-transform, and REDFIT techniques are employed to investigate the
unresolved-core-emission dominated 37 GHz light curve and yield evidence for a
quasi-period around 1540 days, although given the length of the whole data set
it cannot be claimed to be significant. We also investigate the optical/NIR
color variability and find that this source shows a simple redder-when-brighter
behavior over time, even in the low flux state.
