51350 has 24 divisors (see below), whose sum is σ = 104160. Its totient is φ = 18720.

The previous prime is 51349. The next prime is 51361. The reversal of 51350 is 5315.

It is an Ulam number.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

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, 611 + ... + 689.

It is an arithmetic number, because the mean of its divisors is an integer number (4340).

2⁵¹³⁵⁰ is an apocalyptic number.

51350 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

51350 is an abundant number, since it is smaller than the sum of its proper divisors (52810).

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 (52080).

51350 is a wasteful number, since it uses less digits than its factorization.

51350 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 75, while the sum is 14.

The square root of 51350 is about 226.6053838725. The cubic root of 51350 is about 37.1689377267.

Adding to 51350 its reverse (5315), we get a palindrome (56665).

The spelling of 51350 in words is "fifty-one thousand, three hundred fifty".