825757249 has 2 divisors, whose sum is σ = 825757250. Its totient is φ = 825757248.

The previous prime is 825757211. The next prime is 825757277. The reversal of 825757249 is 942757528.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 822542400 + 3214849 = 28680^2 + 1793^2 .

It is a cyclic number.

It is not a de Polignac number, because 825757249 - 2¹¹ = 825755201 is a prime.

It is not a weakly prime, because it can be changed into another prime (825757349) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 412878624 + 412878625.

It is an arithmetic number, because the mean of its divisors is an integer number (412878625).

Almost surely, 2^825757249 is an apocalyptic number.

It is an amenable number.

825757249 is a deficient number, since it is larger than the sum of its proper divisors (1).

825757249 is an equidigital number, since it uses as much as digits as its factorization.

825757249 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1411200, while the sum is 49.

The square root of 825757249 is about 28735.9922222985. The cubic root of 825757249 is about 938.1755956087.

The spelling of 825757249 in words is "eight hundred twenty-five million, seven hundred fifty-seven thousand, two hundred forty-nine".