825027578321 has 2 divisors, whose sum is σ = 825027578322. Its totient is φ = 825027578320.

The previous prime is 825027578209. The next prime is 825027578341. The reversal of 825027578321 is 123875720528.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 743154340096 + 81873238225 = 862064^2 + 286135^2 .

It is a cyclic number.

It is not a de Polignac number, because 825027578321 - 2¹⁴ = 825027561937 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 825027578321.

It is not a weakly prime, because it can be changed into another prime (825027578341) 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, 412513789160 + 412513789161.

It is an arithmetic number, because the mean of its divisors is an integer number (412513789161).

Almost surely, 2^825027578321 is an apocalyptic number.

It is an amenable number.

825027578321 is a deficient number, since it is larger than the sum of its proper divisors (1).

825027578321 is an equidigital number, since it uses as much as digits as its factorization.

825027578321 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1881600, while the sum is 50.

The spelling of 825027578321 in words is "eight hundred twenty-five billion, twenty-seven million, five hundred seventy-eight thousand, three hundred twenty-one".