51850 has 24 divisors (see below), whose sum is σ = 103788. Its totient is φ = 19200.

The previous prime is 51839. The next prime is 51853. The reversal of 51850 is 5815.

It can be written as a sum of positive squares in 6 ways, for example, as 11449 + 40401 = 107^2 + 201^2 .

It is not an unprimeable number, because it can be changed into a prime (51853) 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 11 ways as a sum of consecutive naturals, for example, 820 + ... + 880.

2⁵¹⁸⁵⁰ is an apocalyptic number.

51850 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

51850 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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 (51894).

51850 is a wasteful number, since it uses less digits than its factorization.

51850 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90 (or 85 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 19.

The square root of 51850 is about 227.7059507347. The cubic root of 51850 is about 37.2891874732.

The spelling of 51850 in words is "fifty-one thousand, eight hundred fifty".