6825406901 has 2 divisors, whose sum is σ = 6825406902. Its totient is φ = 6825406900.

The previous prime is 6825406871. The next prime is 6825406919. The reversal of 6825406901 is 1096045286.

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., 3828391876 + 2997015025 = 61874^2 + 54745^2 .

It is a cyclic number.

It is not a de Polignac number, because 6825406901 - 2¹⁰ = 6825405877 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (6825406501) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 3412703450 + 3412703451.

It is an arithmetic number, because the mean of its divisors is an integer number (3412703451).

Almost surely, 2^6825406901 is an apocalyptic number.

It is an amenable number.

6825406901 is a deficient number, since it is larger than the sum of its proper divisors (1).

6825406901 is an equidigital number, since it uses as much as digits as its factorization.

6825406901 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 103680, while the sum is 41.

The square root of 6825406901 is about 82616.0208494696. The cubic root of 6825406901 is about 1896.8930663603.

The spelling of 6825406901 in words is "six billion, eight hundred twenty-five million, four hundred six thousand, nine hundred one".