51305 has 8 divisors (see below), whose sum is σ = 63744. Its totient is φ = 39600.

The previous prime is 51287. The next prime is 51307. The reversal of 51305 is 50315.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 51305 - 2⁶ = 51241 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 51305.

It is not an unprimeable number, because it can be changed into a prime (51307) 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 7 ways as a sum of consecutive naturals, for example, 11 + ... + 320.

It is an arithmetic number, because the mean of its divisors is an integer number (7968).

2⁵¹³⁰⁵ is an apocalyptic number.

It is an amenable number.

51305 is a deficient number, since it is larger than the sum of its proper divisors (12439).

51305 is a wasteful number, since it uses less digits than its factorization.

51305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 367.

The product of its (nonzero) digits is 75, while the sum is 14.

The square root of 51305 is about 226.5060705588. The cubic root of 51305 is about 37.1580770254.

Subtracting from 51305 its reverse (50315), we obtain a triangular number (990 = T₄₄).

The spelling of 51305 in words is "fifty-one thousand, three hundred five".