826249216915601 has 2 divisors, whose sum is σ = 826249216915602. Its totient is φ = 826249216915600.

The previous prime is 826249216915541. The next prime is 826249216915651. The reversal of 826249216915601 is 106519612942628.

826249216915601 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 669600963469201 + 156648253446400 = 25876649^2 + 12515920^2 .

It is a cyclic number.

It is not a de Polignac number, because 826249216915601 - 2³⁰ = 826248143173777 is a prime.

It is not a weakly prime, because it can be changed into another prime (826249216915651) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 413124608457800 + 413124608457801.

It is an arithmetic number, because the mean of its divisors is an integer number (413124608457801).

Almost surely, 2^{826249216915601} is an apocalyptic number.

It is an amenable number.

826249216915601 is a deficient number, since it is larger than the sum of its proper divisors (1).

826249216915601 is an equidigital number, since it uses as much as digits as its factorization.

826249216915601 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 22394880, while the sum is 62.

The spelling of 826249216915601 in words is "eight hundred twenty-six trillion, two hundred forty-nine billion, two hundred sixteen million, nine hundred fifteen thousand, six hundred one".