6825464032801 has 2 divisors, whose sum is σ = 6825464032802. Its totient is φ = 6825464032800.

The previous prime is 6825464032789. The next prime is 6825464032841. The reversal of 6825464032801 is 1082304645286.

6825464032801 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 5941113753600 + 884350279201 = 2437440^2 + 940399^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-6825464032801 is a prime.

It is not a weakly prime, because it can be changed into another prime (6825464032841) 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, 3412732016400 + 3412732016401.

It is an arithmetic number, because the mean of its divisors is an integer number (3412732016401).

Almost surely, 2^{6825464032801} is an apocalyptic number.

It is an amenable number.

6825464032801 is a deficient number, since it is larger than the sum of its proper divisors (1).

6825464032801 is an equidigital number, since it uses as much as digits as its factorization.

6825464032801 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2211840, while the sum is 49.

The spelling of 6825464032801 in words is "six trillion, eight hundred twenty-five billion, four hundred sixty-four million, thirty-two thousand, eight hundred one".