51111056050993 has 2 divisors, whose sum is σ = 51111056050994. Its totient is φ = 51111056050992.

The previous prime is 51111056050981. The next prime is 51111056051023. The reversal of 51111056050993 is 39905065011115.

51111056050993 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., 47510595340849 + 3600460710144 = 6892793^2 + 1897488^2 .

It is a cyclic number.

It is not a de Polignac number, because 51111056050993 - 2¹⁷ = 51111055919921 is a prime.

It is a super-2 number, since 2×51111056050993² (a number of 28 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (51111056050963) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 25555528025496 + 25555528025497.

It is an arithmetic number, because the mean of its divisors is an integer number (25555528025497).

Almost surely, 2^{51111056050993} is an apocalyptic number.

It is an amenable number.

51111056050993 is a deficient number, since it is larger than the sum of its proper divisors (1).

51111056050993 is an equidigital number, since it uses as much as digits as its factorization.

51111056050993 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 182250, while the sum is 46.

The spelling of 51111056050993 in words is "fifty-one trillion, one hundred eleven billion, fifty-six million, fifty thousand, nine hundred ninety-three".