51363 has 12 divisors (see below), whose sum is σ = 80080. Its totient is φ = 31536.

The previous prime is 51361. The next prime is 51383. The reversal of 51363 is 36315.

It is not a de Polignac number, because 51363 - 2¹ = 51361 is a prime.

It is a nialpdrome in base 9.

It is not an unprimeable number, because it can be changed into a prime (51361) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 103 + ... + 336.

2⁵¹³⁶³ is an apocalyptic number.

51363 is a deficient number, since it is larger than the sum of its proper divisors (28717).

51363 is a wasteful number, since it uses less digits than its factorization.

51363 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 458 (or 455 counting only the distinct ones).

The product of its digits is 270, while the sum is 18.

The square root of 51363 is about 226.6340662831. The cubic root of 51363 is about 37.1720740812.

Adding to 51363 its reverse (36315), we get a palindrome (87678).

It can be divided in two parts, 513 and 63, that added together give a square (576 = 24²).

The spelling of 51363 in words is "fifty-one thousand, three hundred sixty-three".