51313 has 6 divisors (see below), whose sum is σ = 54194. Its totient is φ = 48576.

The previous prime is 51307. The next prime is 51329. The reversal of 51313 is 31315.

It can be written as a sum of positive squares in only one way, i.e., 42849 + 8464 = 207^2 + 92^2 .

It is a de Polignac number, because none of the positive numbers 2^k-51313 is a prime.

It is a Duffinian number.

It is a nialpdrome in base 16.

It is a junction number, because it is equal to n+sod(n) for n = 51293 and 51302.

It is not an unprimeable number, because it can be changed into a prime (51343) 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 5 ways as a sum of consecutive naturals, for example, 481 + ... + 577.

2⁵¹³¹³ is an apocalyptic number.

It is an amenable number.

51313 is a deficient number, since it is larger than the sum of its proper divisors (2881).

51313 is an equidigital number, since it uses as much as digits as its factorization.

51313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143 (or 120 counting only the distinct ones).

The product of its digits is 45, while the sum is 13.

The square root of 51313 is about 226.5237294413. The cubic root of 51313 is about 37.1600082808.

Adding to 51313 its reverse (31315), we get a palindrome (82628).

The spelling of 51313 in words is "fifty-one thousand, three hundred thirteen".