51013 has 4 divisors (see below), whose sum is σ = 51520. Its totient is φ = 50508.

The previous prime is 51001. The next prime is 51031. The reversal of 51013 is 31015.

51013 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4, and also a brilliant number, because the two primes have the same length, and also an emirpimes, since its reverse is a distinct semiprime: 31015 = 5 ⋅6203.

It is a cyclic number.

It is not a de Polignac number, because 51013 - 2¹³ = 42821 is a prime.

It is a Duffinian number.

51013 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51043) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 45 + ... + 322.

It is an arithmetic number, because the mean of its divisors is an integer number (12880).

2⁵¹⁰¹³ is an apocalyptic number.

It is an amenable number.

51013 is a deficient number, since it is larger than the sum of its proper divisors (507).

51013 is a wasteful number, since it uses less digits than its factorization.

51013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 506.

The product of its (nonzero) digits is 15, while the sum is 10.

The square root of 51013 is about 225.8605764626. The cubic root of 51013 is about 37.0874483784.

Adding to 51013 its reverse (31015), we get a palindrome (82028).

The spelling of 51013 in words is "fifty-one thousand, thirteen".