51563 has 2 divisors, whose sum is σ = 51564. Its totient is φ = 51562.

The previous prime is 51551. The next prime is 51577. The reversal of 51563 is 36515.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 51563 - 2⁸ = 51307 is a prime.

It is a Chen prime.

It is an Ulam number.

It is a nialpdrome in base 9.

It is not a weakly prime, because it can be changed into another prime (51503) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 25781 + 25782.

It is an arithmetic number, because the mean of its divisors is an integer number (25782).

2⁵¹⁵⁶³ is an apocalyptic number.

51563 is a deficient number, since it is larger than the sum of its proper divisors (1).

51563 is an equidigital number, since it uses as much as digits as its factorization.

51563 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 450, while the sum is 20.

The square root of 51563 is about 227.0748775184. The cubic root of 51563 is about 37.2202591310.

The spelling of 51563 in words is "fifty-one thousand, five hundred sixty-three".