673646800821013 has 2 divisors, whose sum is σ = 673646800821014. Its totient is φ = 673646800821012.

The previous prime is 673646800821011. The next prime is 673646800821017. The reversal of 673646800821013 is 310128008646376.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 671700892999249 + 1945907821764 = 25917193^2 + 1394958^2 .

It is a cyclic number.

It is not a de Polignac number, because 673646800821013 - 2¹ = 673646800821011 is a prime.

It is a super-2 number, since 2×673646800821013² (a number of 30 digits) contains 22 as substring.

Together with 673646800821011, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (673646800821011) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 336823400410506 + 336823400410507.

It is an arithmetic number, because the mean of its divisors is an integer number (336823400410507).

Almost surely, 2^{673646800821013} is an apocalyptic number.

It is an amenable number.

673646800821013 is a deficient number, since it is larger than the sum of its proper divisors (1).

673646800821013 is an equidigital number, since it uses as much as digits as its factorization.

673646800821013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 6967296, while the sum is 55.

The spelling of 673646800821013 in words is "six hundred seventy-three trillion, six hundred forty-six billion, eight hundred million, eight hundred twenty-one thousand, thirteen".