825027473 has 2 divisors, whose sum is σ = 825027474. Its totient is φ = 825027472.

The previous prime is 825027439. The next prime is 825027491. The reversal of 825027473 is 374720528.

825027473 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., 534904384 + 290123089 = 23128^2 + 17033^2 .

It is a cyclic number.

It is not a de Polignac number, because 825027473 - 2²⁴ = 808250257 is a prime.

It is not a weakly prime, because it can be changed into another prime (825027403) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 412513736 + 412513737.

It is an arithmetic number, because the mean of its divisors is an integer number (412513737).

Almost surely, 2^825027473 is an apocalyptic number.

It is an amenable number.

825027473 is a deficient number, since it is larger than the sum of its proper divisors (1).

825027473 is an equidigital number, since it uses as much as digits as its factorization.

825027473 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 94080, while the sum is 38.

The square root of 825027473 is about 28723.2914722530. The cubic root of 825027473 is about 937.8991383222.

The spelling of 825027473 in words is "eight hundred twenty-five million, twenty-seven thousand, four hundred seventy-three".