51075 has 18 divisors (see below), whose sum is σ = 91884. Its totient is φ = 27120.

The previous prime is 51071. The next prime is 51109. The reversal of 51075 is 57015.

It is a happy number.

51075 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Cunningham number, because it is equal to 226²-1.

It is not a de Polignac number, because 51075 - 2² = 51071 is a prime.

It is a zygodrome in base 2.

It is not an unprimeable number, because it can be changed into a prime (51071) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 112 + ... + 338.

2⁵¹⁰⁷⁵ is an apocalyptic number.

51075 is a deficient number, since it is larger than the sum of its proper divisors (40809).

51075 is a wasteful number, since it uses less digits than its factorization.

51075 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 243 (or 235 counting only the distinct ones).

The product of its (nonzero) digits is 175, while the sum is 18.

The square root of 51075 is about 225.9977875998. The cubic root of 51075 is about 37.1024673662.

It can be divided in two parts, 510 and 75, that added together give a palindrome (585).

The spelling of 51075 in words is "fifty-one thousand, seventy-five".