5067311264641 has 2 divisors, whose sum is σ = 5067311264642. Its totient is φ = 5067311264640.

The previous prime is 5067311264573. The next prime is 5067311264657. The reversal of 5067311264641 is 1464621137605.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 5014374918400 + 52936346241 = 2239280^2 + 230079^2 .

It is a cyclic number.

It is not a de Polignac number, because 5067311264641 - 2¹⁹ = 5067310740353 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 5067311264591 and 5067311264600.

It is not a weakly prime, because it can be changed into another prime (5067311264441) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2533655632320 + 2533655632321.

It is an arithmetic number, because the mean of its divisors is an integer number (2533655632321).

Almost surely, 2^{5067311264641} is an apocalyptic number.

It is an amenable number.

5067311264641 is a deficient number, since it is larger than the sum of its proper divisors (1).

5067311264641 is an equidigital number, since it uses as much as digits as its factorization.

5067311264641 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 725760, while the sum is 46.

The spelling of 5067311264641 in words is "five trillion, sixty-seven billion, three hundred eleven million, two hundred sixty-four thousand, six hundred forty-one".