51210 has 24 divisors (see below), whose sum is σ = 133380. Its totient is φ = 13632.

The previous prime is 51203. The next prime is 51217. The reversal of 51210 is 1215.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (51203) and next prime (51217).

It can be written as a sum of positive squares in 2 ways, for example, as 47961 + 3249 = 219^2 + 57^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a nialpdrome in base 9.

It is a junction number, because it is equal to n+sod(n) for n = 51192 and 51201.

It is not an unprimeable number, because it can be changed into a prime (51217) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 195 + ... + 374.

2⁵¹²¹⁰ is an apocalyptic number.

51210 is an abundant number, since it is smaller than the sum of its proper divisors (82170).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66690).

51210 is a wasteful number, since it uses less digits than its factorization.

51210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 582 (or 579 counting only the distinct ones).

The product of its (nonzero) digits is 10, while the sum is 9.

The square root of 51210 is about 226.2962659878. The cubic root of 51210 is about 37.1351280057.

Adding to 51210 its reverse (1215), we get a palindrome (52425).

The spelling of 51210 in words is "fifty-one thousand, two hundred ten".