The surface gravity of a neutron star is incredibly high due to its extremely compact nature and massive density. Neutron stars are the collapsed cores of massive stars that have undergone a supernova explosion. They have a radius of only about 10-15 kilometers (6-9 miles) but can have a mass that is 1.4 to 3 times that of our Sun. This results in an extremely strong gravitational field at their surfaces.

The surface gravity of a neutron star can be calculated using the formula:

```

g = (G * M) / R^2

```

where:

* g is the surface gravity

* G is the gravitational constant (6.674 × 10^-11 N m^2 kg^-2)

* M is the mass of the neutron star

* R is the radius of the neutron star

For a typical neutron star with a mass of 1.4 solar masses and a radius of 10 kilometers, the surface gravity would be approximately:

```

g = (6.674 × 10^-11 N m^2 kg^-2) * (1.4 * 1.989 × 10^30 kg) / (10,000 m)^2

g ≈ 2.17 × 10^12 m/s^2

```

This value is approximately 2.17 × 10^12 times the acceleration due to gravity on Earth. In comparison, the surface gravity of the Earth is approximately 9.8 m/s^2. Therefore, standing on the surface of a neutron star would subject you to an enormous gravitational force, crushing you instantly due to the immense pressure.

It's worth noting that the surface gravity of neutron stars can vary depending on their mass and radius, and some neutron stars may have even higher surface gravity than the value calculated above.