  We introduce a new superintegrable Kepler-Coulomb system with non-central
terms in $N$-dimensional Euclidean space. We show this system is multiseparable
and allows separation of variables in hyperspherical and hyperparabolic
coordinates. We present the wave function in terms of special functions. We
give a algebraic derivation of spectrum of the superintegrable system. We show
how the $so(N+1)$ symmetry algebra of the $N$-dimensional Kepler-Coulomb system
is deformed to a quadratic algebra with only 3 generators and structure
constants involving a Casimir operator of $so(N-1)$ Lie algebra. We construct
the quadratic algebra and the Casimir operator. We show this algebra can be
realized in terms of deformed oscillator and obtain the structure function
which yields the energy spectrum.
