51038 has 12 divisors (see below), whose sum is σ = 83448. Its totient is φ = 23400.

The previous prime is 51031. The next prime is 51043. The reversal of 51038 is 83015.

51038 = 2² + 3² + ... + 53².

51038 is nontrivially palindromic in base 12.

It is a Smith number, since the sum of its digits (17) coincides with the sum of the digits of its prime factors.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51031) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 263 + ... + 413.

It is an arithmetic number, because the mean of its divisors is an integer number (6954).

2⁵¹⁰³⁸ is an apocalyptic number.

51038 is a deficient number, since it is larger than the sum of its proper divisors (32410).

51038 is a wasteful number, since it uses less digits than its factorization.

51038 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 17.

The square root of 51038 is about 225.9159135608. The cubic root of 51038 is about 37.0935058852.

The spelling of 51038 in words is "fifty-one thousand, thirty-eight".