51289 has 8 divisors (see below), whose sum is σ = 62208. Its totient is φ = 41280.

The previous prime is 51287. The next prime is 51307. The reversal of 51289 is 98215.

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

It is a cyclic number.

It is not a de Polignac number, because 51289 - 2¹ = 51287 is a prime.

It is a Duffinian number.

51289 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (51283) 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, 97 + ... + 334.

It is an arithmetic number, because the mean of its divisors is an integer number (7776).

2⁵¹²⁸⁹ is an apocalyptic number.

It is an amenable number.

51289 is a deficient number, since it is larger than the sum of its proper divisors (10919).

51289 is a wasteful number, since it uses less digits than its factorization.

51289 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 455.

The product of its digits is 720, while the sum is 25.

The square root of 51289 is about 226.4707486630. The cubic root of 51289 is about 37.1542139124.

The spelling of 51289 in words is "fifty-one thousand, two hundred eighty-nine".