51008 has 14 divisors (see below), whose sum is σ = 101346. Its totient is φ = 25472.

The previous prime is 51001. The next prime is 51031. The reversal of 51008 is 80015.

It can be written as a sum of positive squares in only one way, i.e., 43264 + 7744 = 208^2 + 88^2 .

It is a nialpdrome in base 16.

It is a junction number, because it is equal to n+sod(n) for n = 50983 and 51001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51001) by changing a digit.

51008 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 as a sum of consecutive naturals, namely, 335 + ... + 462.

It is an arithmetic number, because the mean of its divisors is an integer number (7239).

2⁵¹⁰⁰⁸ is an apocalyptic number.

It is an amenable number.

51008 is a deficient number, since it is larger than the sum of its proper divisors (50338).

51008 is an equidigital number, since it uses as much as digits as its factorization.

51008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 809 (or 799 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 14.

The square root of 51008 is about 225.8495074159. The cubic root of 51008 is about 37.0862366395.

The spelling of 51008 in words is "fifty-one thousand, eight".