825782401 has 2 divisors, whose sum is σ = 825782402. Its totient is φ = 825782400.

The previous prime is 825782393. The next prime is 825782411. The reversal of 825782401 is 104287528.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 416772225 + 409010176 = 20415^2 + 20224^2 .

It is a cyclic number.

It is not a de Polignac number, because 825782401 - 2³ = 825782393 is a prime.

It is not a weakly prime, because it can be changed into another prime (825782411) 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, 412891200 + 412891201.

It is an arithmetic number, because the mean of its divisors is an integer number (412891201).

Almost surely, 2^825782401 is an apocalyptic number.

It is an amenable number.

825782401 is a deficient number, since it is larger than the sum of its proper divisors (1).

825782401 is an equidigital number, since it uses as much as digits as its factorization.

825782401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 35840, while the sum is 37.

The square root of 825782401 is about 28736.4298582827. The cubic root of 825782401 is about 938.1851209073.

The spelling of 825782401 in words is "eight hundred twenty-five million, seven hundred eighty-two thousand, four hundred one".