51630 has 16 divisors (see below), whose sum is σ = 123984. Its totient is φ = 13760.

The previous prime is 51613. The next prime is 51631. The reversal of 51630 is 3615.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51631) by changing a digit.

51630 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 831 + ... + 890.

It is an arithmetic number, because the mean of its divisors is an integer number (7749).

2⁵¹⁶³⁰ is an apocalyptic number.

51630 is an abundant number, since it is smaller than the sum of its proper divisors (72354).

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 (61992).

51630 is a wasteful number, since it uses less digits than its factorization.

51630 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1731.

The product of its (nonzero) digits is 90, while the sum is 15.

The square root of 51630 is about 227.2223580548. Note that the first 3 decimals coincide. The cubic root of 51630 is about 37.2363732569.

Subtracting from 51630 its sum of digits (15), we obtain a palindrome (51615).

The spelling of 51630 in words is "fifty-one thousand, six hundred thirty".