51319 has 8 divisors (see below), whose sum is σ = 56240. Its totient is φ = 46656.

The previous prime is 51307. The next prime is 51329. The reversal of 51319 is 91315.

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

It is a 6-Lehmer number, since φ(51319) divides (51319-1)⁶.

It is a cyclic number.

It is not a de Polignac number, because 51319 - 2⁵ = 51287 is a prime.

It is a super-2 number, since 2×51319² = 5267279522, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (19).

51319 is a lucky number.

It is a nialpdrome in base 16.

It is a junction number, because it is equal to n+sod(n) for n = 51296 and 51305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51329) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 667 + ... + 739.

It is an arithmetic number, because the mean of its divisors is an integer number (7030).

2⁵¹³¹⁹ is an apocalyptic number.

51319 is a deficient number, since it is larger than the sum of its proper divisors (4921).

51319 is a wasteful number, since it uses less digits than its factorization.

51319 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129.

The product of its digits is 135, while the sum is 19.

The square root of 51319 is about 226.5369726998. The cubic root of 51319 is about 37.1614565906.

51319 divided by its sum of digits (19) gives a triangular number (2701 = T₇₃).

The spelling of 51319 in words is "fifty-one thousand, three hundred nineteen".