51963 has 4 divisors (see below), whose sum is σ = 69288. Its totient is φ = 34640.

The previous prime is 51949. The next prime is 51971. The reversal of 51963 is 36915.

It is a semiprime because it is the product of two primes.

It is a cyclic number.

It is not a de Polignac number, because 51963 - 2⁶ = 51899 is a prime.

It is a D-number.

51963 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (51913) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 8658 + ... + 8663.

It is an arithmetic number, because the mean of its divisors is an integer number (17322).

2⁵¹⁹⁶³ is an apocalyptic number.

51963 is a deficient number, since it is larger than the sum of its proper divisors (17325).

51963 is a wasteful number, since it uses less digits than its factorization.

51963 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17324.

The product of its digits is 810, while the sum is 24.

The square root of 51963 is about 227.9539427165. The cubic root of 51963 is about 37.3162567168.

The spelling of 51963 in words is "fifty-one thousand, nine hundred sixty-three".