820125841 has 2 divisors, whose sum is σ = 820125842. Its totient is φ = 820125840.

The previous prime is 820125827. The next prime is 820125853. The reversal of 820125841 is 148521028.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 605356816 + 214769025 = 24604^2 + 14655^2 .

It is a cyclic number.

It is not a de Polignac number, because 820125841 - 2⁵ = 820125809 is a prime.

It is not a weakly prime, because it can be changed into another prime (820125641) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 410062920 + 410062921.

It is an arithmetic number, because the mean of its divisors is an integer number (410062921).

Almost surely, 2^820125841 is an apocalyptic number.

It is an amenable number.

820125841 is a deficient number, since it is larger than the sum of its proper divisors (1).

820125841 is an equidigital number, since it uses as much as digits as its factorization.

820125841 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 5120, while the sum is 31.

The square root of 820125841 is about 28637.8393214293. The cubic root of 820125841 is about 936.0380403276.

Adding to 820125841 its reverse (148521028), we get a palindrome (968646869).

The spelling of 820125841 in words is "eight hundred twenty million, one hundred twenty-five thousand, eight hundred forty-one".