51205164649973 has 2 divisors, whose sum is σ = 51205164649974. Its totient is φ = 51205164649972.

The previous prime is 51205164649943. The next prime is 51205164649979. The reversal of 51205164649973 is 37994646150215.

51205164649973 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 30951942521809 + 20253222128164 = 5563447^2 + 4500358^2 .

It is a cyclic number.

It is not a de Polignac number, because 51205164649973 - 2⁶ = 51205164649909 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (51205164649979) 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, 25602582324986 + 25602582324987.

It is an arithmetic number, because the mean of its divisors is an integer number (25602582324987).

Almost surely, 2^{51205164649973} is an apocalyptic number.

It is an amenable number.

51205164649973 is a deficient number, since it is larger than the sum of its proper divisors (1).

51205164649973 is an equidigital number, since it uses as much as digits as its factorization.

51205164649973 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 48988800, while the sum is 62.

The spelling of 51205164649973 in words is "fifty-one trillion, two hundred five billion, one hundred sixty-four million, six hundred forty-nine thousand, nine hundred seventy-three".