51351300520081 has 2 divisors, whose sum is σ = 51351300520082. Its totient is φ = 51351300520080.

The previous prime is 51351300519947. The next prime is 51351300520099. The reversal of 51351300520081 is 18002500315315.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 25981855617600 + 25369444902481 = 5097240^2 + 5036809^2 .

It is a cyclic number.

It is not a de Polignac number, because 51351300520081 - 2⁹ = 51351300519569 is a prime.

It is a super-3 number, since 3×51351300520081³ (a number of 42 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not a weakly prime, because it can be changed into another prime (51351300520781) 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, 25675650260040 + 25675650260041.

It is an arithmetic number, because the mean of its divisors is an integer number (25675650260041).

Almost surely, 2^{51351300520081} is an apocalyptic number.

It is an amenable number.

51351300520081 is a deficient number, since it is larger than the sum of its proper divisors (1).

51351300520081 is an equidigital number, since it uses as much as digits as its factorization.

51351300520081 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 18000, while the sum is 34.

Adding to 51351300520081 its reverse (18002500315315), we get a palindrome (69353800835396).

The spelling of 51351300520081 in words is "fifty-one trillion, three hundred fifty-one billion, three hundred million, five hundred twenty thousand, eighty-one".