825073331 has 2 divisors, whose sum is σ = 825073332. Its totient is φ = 825073330.

The previous prime is 825073307. The next prime is 825073349. The reversal of 825073331 is 133370528.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 825073331 - 2⁶ = 825073267 is a prime.

It is a super-2 number, since 2×825073331² = 1361492003054871122, which contains 22 as substring.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (825073231) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 412536665 + 412536666.

It is an arithmetic number, because the mean of its divisors is an integer number (412536666).

Almost surely, 2^825073331 is an apocalyptic number.

825073331 is a deficient number, since it is larger than the sum of its proper divisors (1).

825073331 is an equidigital number, since it uses as much as digits as its factorization.

825073331 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 15120, while the sum is 32.

The square root of 825073331 is about 28724.0897331839. The cubic root of 825073331 is about 937.9165152716.

The spelling of 825073331 in words is "eight hundred twenty-five million, seventy-three thousand, three hundred thirty-one".