51930 has 24 divisors (see below), whose sum is σ = 135252. Its totient is φ = 13824.

The previous prime is 51929. The next prime is 51941. The reversal of 51930 is 3915.

It can be written as a sum of positive squares in 2 ways, for example, as 47961 + 3969 = 219^2 + 63^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 199 + ... + 378.

2⁵¹⁹³⁰ is an apocalyptic number.

51930 is an abundant number, since it is smaller than the sum of its proper divisors (83322).

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 (67626).

51930 is a wasteful number, since it uses less digits than its factorization.

51930 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 590 (or 587 counting only the distinct ones).

The product of its (nonzero) digits is 135, while the sum is 18.

The square root of 51930 is about 227.8815481780. The cubic root of 51930 is about 37.3083555997.

The spelling of 51930 in words is "fifty-one thousand, nine hundred thirty".