51538 has 8 divisors (see below), whose sum is σ = 78588. Its totient is φ = 25344.

The previous prime is 51521. The next prime is 51539. The reversal of 51538 is 83515.

It can be written as a sum of positive squares in 2 ways, for example, as 51529 + 9 = 227^2 + 3^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is an Ulam number.

It is a plaindrome in base 12.

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (51539) by changing a digit.

51538 is an untouchable number, because it is not equal to the sum of proper divisors of any 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, 31 + ... + 322.

2⁵¹⁵³⁸ is an apocalyptic number.

51538 is a deficient number, since it is larger than the sum of its proper divisors (27050).

51538 is a wasteful number, since it uses less digits than its factorization.

51538 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 428.

The product of its digits is 600, while the sum is 22.

The square root of 51538 is about 227.0198229230. The cubic root of 51538 is about 37.2142428215.

The spelling of 51538 in words is "fifty-one thousand, five hundred thirty-eight".