825828281 has 2 divisors, whose sum is σ = 825828282. Its totient is φ = 825828280.

The previous prime is 825828239. The next prime is 825828299. The reversal of 825828281 is 182828528.

825828281 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., 779805625 + 46022656 = 27925^2 + 6784^2 .

It is a cyclic number.

It is not a de Polignac number, because 825828281 - 2¹⁰ = 825827257 is a prime.

It is a super-2 number, since 2×825828281² = 1363984699398829922, which contains 22 as substring.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (825828181) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 412914140 + 412914141.

It is an arithmetic number, because the mean of its divisors is an integer number (412914141).

Almost surely, 2^825828281 is an apocalyptic number.

It is an amenable number.

825828281 is a deficient number, since it is larger than the sum of its proper divisors (1).

825828281 is an equidigital number, since it uses as much as digits as its factorization.

825828281 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 163840, while the sum is 44.

The square root of 825828281 is about 28737.2281370351. The cubic root of 825828281 is about 938.2024955959.

The spelling of 825828281 in words is "eight hundred twenty-five million, eight hundred twenty-eight thousand, two hundred eighty-one".