51031 has 2 divisors, whose sum is σ = 51032. Its totient is φ = 51030.

The previous prime is 51001. The next prime is 51043. The reversal of 51031 is 13015.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 51031 - 2¹³ = 42839 is a prime.

It is a super-2 number, since 2×51031² = 5208325922, which contains 22 as substring.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 50999 and 51017.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (51001) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 25515 + 25516.

It is an arithmetic number, because the mean of its divisors is an integer number (25516).

2⁵¹⁰³¹ is an apocalyptic number.

51031 is a deficient number, since it is larger than the sum of its proper divisors (1).

51031 is an equidigital number, since it uses as much as digits as its factorization.

51031 is an evil number, because the sum of its binary digits is even.

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

The square root of 51031 is about 225.9004205397. The cubic root of 51031 is about 37.0918099827.

Adding to 51031 its reverse (13015), we get a palindrome (64046).

The spelling of 51031 in words is "fifty-one thousand, thirty-one".