825816001 has 2 divisors, whose sum is σ = 825816002. Its totient is φ = 825816000.

The previous prime is 825815933. The next prime is 825816011. The reversal of 825816001 is 100618528.

825816001 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., 787363600 + 38452401 = 28060^2 + 6201^2 .

It is a cyclic number.

It is not a de Polignac number, because 825816001 - 2⁷ = 825815873 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (825816011) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 412908000 + 412908001.

It is an arithmetic number, because the mean of its divisors is an integer number (412908001).

Almost surely, 2^825816001 is an apocalyptic number.

It is an amenable number.

825816001 is a deficient number, since it is larger than the sum of its proper divisors (1).

825816001 is an equidigital number, since it uses as much as digits as its factorization.

825816001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3840, while the sum is 31.

The square root of 825816001 is about 28737.0144761073. The cubic root of 825816001 is about 938.1978452410.

The spelling of 825816001 in words is "eight hundred twenty-five million, eight hundred sixteen thousand, one".