825201457 has 2 divisors, whose sum is σ = 825201458. Its totient is φ = 825201456.

The previous prime is 825201427. The next prime is 825201479. The reversal of 825201457 is 754102528.

It is a happy number.

825201457 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., 659924721 + 165276736 = 25689^2 + 12856^2 .

It is a cyclic number.

It is not a de Polignac number, because 825201457 - 2⁷ = 825201329 is a prime.

It is not a weakly prime, because it can be changed into another prime (825201427) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 412600728 + 412600729.

It is an arithmetic number, because the mean of its divisors is an integer number (412600729).

Almost surely, 2^825201457 is an apocalyptic number.

It is an amenable number.

825201457 is a deficient number, since it is larger than the sum of its proper divisors (1).

825201457 is an equidigital number, since it uses as much as digits as its factorization.

825201457 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 22400, while the sum is 34.

The square root of 825201457 is about 28726.3199348611. The cubic root of 825201457 is about 937.9650625812.

The spelling of 825201457 in words is "eight hundred twenty-five million, two hundred one thousand, four hundred fifty-seven".