51000137 has 2 divisors, whose sum is σ = 51000138. Its totient is φ = 51000136.

The previous prime is 51000133. The next prime is 51000139. The reversal of 51000137 is 73100015.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 44943616 + 6056521 = 6704^2 + 2461^2 .

It is a cyclic number.

It is not a de Polignac number, because 51000137 - 2² = 51000133 is a prime.

Together with 51000139, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (51000133) by changing a digit.

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

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 25500068 + 25500069.

It is an arithmetic number, because the mean of its divisors is an integer number (25500069).

Almost surely, 2^51000137 is an apocalyptic number.

It is an amenable number.

51000137 is a deficient number, since it is larger than the sum of its proper divisors (1).

51000137 is an equidigital number, since it uses as much as digits as its factorization.

51000137 is an odious number, because the sum of its binary digits is odd.

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

The square root of 51000137 is about 7141.4380204550. The cubic root of 51000137 is about 370.8433089883.

The spelling of 51000137 in words is "fifty-one million, one hundred thirty-seven", and thus it is an aban number.