51088 has 20 divisors (see below), whose sum is σ = 103168. Its totient is φ = 24480.

The previous prime is 51071. The next prime is 51109. The reversal of 51088 is 88015.

51088 is an admirable 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 3 ways as a sum of consecutive naturals, for example, 445 + ... + 547.

2⁵¹⁰⁸⁸ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51584).

51088 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.

51088 is a wasteful number, since it uses less digits than its factorization.

51088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 22.

The square root of 51088 is about 226.0265471134. The cubic root of 51088 is about 37.1056149671.

The spelling of 51088 in words is "fifty-one thousand, eighty-eight".