51012563566864 has 45 divisors (see below), whose sum is σ = 100987154425591. Its totient is φ = 24962937844640.

The previous prime is 51012563566859. The next prime is 51012563566891. The reversal of 51012563566864 is 46866536521015.

The square root of 51012563566864 is 7142308.

It is a perfect power (a square), and thus also a powerful number.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 51012563566799 and 51012563566808.

It is an unprimeable number.

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 in 8 ways as a sum of consecutive naturals, for example, 1342734909 + ... + 1342772899.

Almost surely, 2^{51012563566864} is an apocalyptic number.

51012563566864 is the 7142308-th square number.

It is an amenable number.

51012563566864 is a deficient number, since it is larger than the sum of its proper divisors (49974590858727).

51012563566864 is an frugal number, since it uses more digits than its factorization.

51012563566864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76084 (or 38040 counting only the distinct ones).

The product of its (nonzero) digits is 31104000, while the sum is 58.

The spelling of 51012563566864 in words is "fifty-one trillion, twelve billion, five hundred sixty-three million, five hundred sixty-six thousand, eight hundred sixty-four".