51588 has 18 divisors (see below), whose sum is σ = 130494. Its totient is φ = 17184.

The previous prime is 51581. The next prime is 51593. The reversal of 51588 is 88515.

It can be written as a sum of positive squares in only one way, i.e., 49284 + 2304 = 222^2 + 48^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a super-2 number, since 2×51588² = 5322643488, which contains 22 as substring.

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (51581) by changing a digit.

51588 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 5 ways as a sum of consecutive naturals, for example, 681 + ... + 752.

2⁵¹⁵⁸⁸ is an apocalyptic number.

It is an amenable number.

51588 is an abundant number, since it is smaller than the sum of its proper divisors (78906).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

51588 is a wasteful number, since it uses less digits than its factorization.

51588 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1443 (or 1438 counting only the distinct ones).

The product of its digits is 1600, while the sum is 27.

The square root of 51588 is about 227.1299187690. The cubic root of 51588 is about 37.2262734962.

Adding to 51588 its sum of digits (27), we get a palindrome (51615).

The spelling of 51588 in words is "fifty-one thousand, five hundred eighty-eight".