825301333 has 2 divisors, whose sum is σ = 825301334. Its totient is φ = 825301332.

The previous prime is 825301331. The next prime is 825301339. The reversal of 825301333 is 333103528.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 693900964 + 131400369 = 26342^2 + 11463^2 .

It is a cyclic number.

It is not a de Polignac number, because 825301333 - 2¹ = 825301331 is a prime.

It is a super-2 number, since 2×825301333² = 1362244580503153778, which contains 22 as substring.

Together with 825301331, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (825301331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 412650666 + 412650667.

It is an arithmetic number, because the mean of its divisors is an integer number (412650667).

Almost surely, 2^825301333 is an apocalyptic number.

It is an amenable number.

825301333 is a deficient number, since it is larger than the sum of its proper divisors (1).

825301333 is an equidigital number, since it uses as much as digits as its factorization.

825301333 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6480, while the sum is 28.

The square root of 825301333 is about 28728.0582880222. The cubic root of 825301333 is about 938.0029023995.

The spelling of 825301333 in words is "eight hundred twenty-five million, three hundred one thousand, three hundred thirty-three".