56951 has 2 divisors, whose sum is σ = 56952. Its totient is φ = 56950.

The previous prime is 56941. The next prime is 56957. The reversal of 56951 is 15965.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 56951 - 2¹⁰ = 55927 is a prime.

It is a Sophie Germain prime.

It is a self number, because there is not a number n which added to its sum of digits gives 56951.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (56957) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 28475 + 28476.

It is an arithmetic number, because the mean of its divisors is an integer number (28476).

2⁵⁶⁹⁵¹ is an apocalyptic number.

56951 is a deficient number, since it is larger than the sum of its proper divisors (1).

56951 is an equidigital number, since it uses as much as digits as its factorization.

56951 is an evil number, because the sum of its binary digits is even.

The product of its digits is 1350, while the sum is 26.

The square root of 56951 is about 238.6440864551. The cubic root of 56951 is about 38.4739802825.

The spelling of 56951 in words is "fifty-six thousand, nine hundred fifty-one".