51137 has 2 divisors, whose sum is σ = 51138. Its totient is φ = 51136.

The previous prime is 51133. The next prime is 51151. The reversal of 51137 is 73115.

51137 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 50176 + 961 = 224^2 + 31^2 .

It is a cyclic number.

It is not a de Polignac number, because 51137 - 2² = 51133 is a prime.

It is a super-2 number, since 2×51137² = 5229985538, which contains 22 as substring.

It is a Chen prime.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 51137.

It is not a weakly prime, because it can be changed into another prime (51131) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 25568 + 25569.

It is an arithmetic number, because the mean of its divisors is an integer number (25569).

2⁵¹¹³⁷ is an apocalyptic number.

It is an amenable number.

51137 is a deficient number, since it is larger than the sum of its proper divisors (1).

51137 is an equidigital number, since it uses as much as digits as its factorization.

51137 is an evil number, because the sum of its binary digits is even.

The product of its digits is 105, while the sum is 17.

The square root of 51137 is about 226.1349154819. The cubic root of 51137 is about 37.1174742045.

The spelling of 51137 in words is "fifty-one thousand, one hundred thirty-seven".