51010005037 has 2 divisors, whose sum is σ = 51010005038. Its totient is φ = 51010005036.

The previous prime is 51010004989. The next prime is 51010005073. The reversal of 51010005037 is 73050001015.

Together with next prime (51010005073) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 49969684521 + 1040320516 = 223539^2 + 32254^2 .

It is a cyclic number.

It is not a de Polignac number, because 51010005037 - 2³⁵ = 16650266669 is a prime.

It is a super-2 number, since 2×51010005037² (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 51010004999 and 51010005017.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (51010006037) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 25505002518 + 25505002519.

It is an arithmetic number, because the mean of its divisors is an integer number (25505002519).

Almost surely, 2^51010005037 is an apocalyptic number.

It is an amenable number.

51010005037 is a deficient number, since it is larger than the sum of its proper divisors (1).

51010005037 is an equidigital number, since it uses as much as digits as its factorization.

51010005037 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 525, while the sum is 22.

The spelling of 51010005037 in words is "fifty-one billion, ten million, five thousand, thirty-seven".