827259077401 has 2 divisors, whose sum is σ = 827259077402. Its totient is φ = 827259077400.

The previous prime is 827259077377. The next prime is 827259077431. The reversal of 827259077401 is 104770952728.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 765196310025 + 62062767376 = 874755^2 + 249124^2 .

It is a cyclic number.

It is not a de Polignac number, because 827259077401 - 2¹¹ = 827259075353 is a prime.

It is a super-2 number, since 2×827259077401² (a number of 25 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (827259077431) 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, 413629538700 + 413629538701.

It is an arithmetic number, because the mean of its divisors is an integer number (413629538701).

Almost surely, 2^827259077401 is an apocalyptic number.

It is an amenable number.

827259077401 is a deficient number, since it is larger than the sum of its proper divisors (1).

827259077401 is an equidigital number, since it uses as much as digits as its factorization.

827259077401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1975680, while the sum is 52.

The spelling of 827259077401 in words is "eight hundred twenty-seven billion, two hundred fifty-nine million, seventy-seven thousand, four hundred one".