51263 has 2 divisors, whose sum is σ = 51264. Its totient is φ = 51262.

The previous prime is 51257. The next prime is 51283. The reversal of 51263 is 36215.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 51263 - 2⁶ = 51199 is a prime.

It is a Chen prime.

It is equal to p₅₂₄₆ and since 51263 and 5246 have the same sum of digits, it is a Honaker prime.

It is a plaindrome in base 12.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (51203) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 25631 + 25632.

It is an arithmetic number, because the mean of its divisors is an integer number (25632).

2⁵¹²⁶³ is an apocalyptic number.

51263 is a deficient number, since it is larger than the sum of its proper divisors (1).

51263 is an equidigital number, since it uses as much as digits as its factorization.

51263 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 180, while the sum is 17.

The square root of 51263 is about 226.4133388297. The cubic root of 51263 is about 37.1479346398.

Adding to 51263 its reverse (36215), we get a palindrome (87478).

It can be divided in two parts, 512 and 63, that added together give a palindrome (575).

The spelling of 51263 in words is "fifty-one thousand, two hundred sixty-three".