51131 has 2 divisors, whose sum is σ = 51132. Its totient is φ = 51130.

The previous prime is 51109. The next prime is 51133. The reversal of 51131 is 13115.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 51131 - 2¹⁴ = 34747 is a prime.

It is a super-2 number, since 2×51131² = 5228758322, which contains 22 as substring.

Together with 51133, it forms a pair of twin primes.

It is a Chen prime.

It is equal to p₅₂₃₁ and since 51131 and 5231 have the same sum of digits, it is a Honaker prime.

It is not a weakly prime, because it can be changed into another prime (51133) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a good prime.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 25565 + 25566.

It is an arithmetic number, because the mean of its divisors is an integer number (25566).

2⁵¹¹³¹ is an apocalyptic number.

51131 is a deficient number, since it is larger than the sum of its proper divisors (1).

51131 is an equidigital number, since it uses as much as digits as its factorization.

51131 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 15, while the sum is 11.

The square root of 51131 is about 226.1216486761. The cubic root of 51131 is about 37.1160224601.

Adding to 51131 its reverse (13115), we get a palindrome (64246).

The spelling of 51131 in words is "fifty-one thousand, one hundred thirty-one".