825408257 has 2 divisors, whose sum is σ = 825408258. Its totient is φ = 825408256.

The previous prime is 825408193. The next prime is 825408281. The reversal of 825408257 is 752804528.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 811338256 + 14070001 = 28484^2 + 3751^2 .

It is a cyclic number.

It is not a de Polignac number, because 825408257 - 2⁶ = 825408193 is a prime.

It is not a weakly prime, because it can be changed into another prime (825402257) 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, 412704128 + 412704129.

It is an arithmetic number, because the mean of its divisors is an integer number (412704129).

Almost surely, 2^825408257 is an apocalyptic number.

It is an amenable number.

825408257 is a deficient number, since it is larger than the sum of its proper divisors (1).

825408257 is an equidigital number, since it uses as much as digits as its factorization.

825408257 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 179200, while the sum is 41.

The square root of 825408257 is about 28729.9191958488. The cubic root of 825408257 is about 938.0434090958.

The spelling of 825408257 in words is "eight hundred twenty-five million, four hundred eight thousand, two hundred fifty-seven".