6725385691201 has 2 divisors, whose sum is σ = 6725385691202. Its totient is φ = 6725385691200.

The previous prime is 6725385691177. The next prime is 6725385691231. The reversal of 6725385691201 is 1021965835276.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 6599041699600 + 126343991601 = 2568860^2 + 355449^2 .

It is a cyclic number.

It is not a de Polignac number, because 6725385691201 - 2⁵ = 6725385691169 is a prime.

It is a super-2 number, since 2×6725385691201² (a number of 26 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (6725385691231) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 3362692845600 + 3362692845601.

It is an arithmetic number, because the mean of its divisors is an integer number (3362692845601).

Almost surely, 2^{6725385691201} is an apocalyptic number.

It is an amenable number.

6725385691201 is a deficient number, since it is larger than the sum of its proper divisors (1).

6725385691201 is an equidigital number, since it uses as much as digits as its factorization.

6725385691201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5443200, while the sum is 55.

The spelling of 6725385691201 in words is "six trillion, seven hundred twenty-five billion, three hundred eighty-five million, six hundred ninety-one thousand, two hundred one".