51303 has 12 divisors (see below), whose sum is σ = 79800. Its totient is φ = 29232.

The previous prime is 51287. The next prime is 51307. The reversal of 51303 is 30315.

It is a happy number.

51303 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 51303 - 2⁴ = 51287 is a prime.

It is the 227-th Hogben number.

51303 is a lucky number.

It is a plaindrome in base 11.

It is a nialpdrome in base 9.

It is a zygodrome in base 9.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51307) by changing a digit.

It is a nontrivial repunit in base 226.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 28 + ... + 321.

It is an arithmetic number, because the mean of its divisors is an integer number (6650).

2⁵¹³⁰³ is an apocalyptic number.

51303 is a deficient number, since it is larger than the sum of its proper divisors (28497).

51303 is a wasteful number, since it uses less digits than its factorization.

51303 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 366 (or 359 counting only the distinct ones).

The product of its (nonzero) digits is 45, while the sum is 12.

The square root of 51303 is about 226.5016556231. The cubic root of 51303 is about 37.1575941802.

Adding to 51303 its sum of digits (12), we get a palindrome (51315).

Adding to 51303 its reverse (30315), we get a palindrome (81618).

The spelling of 51303 in words is "fifty-one thousand, three hundred three".