820025819 has 2 divisors, whose sum is σ = 820025820. Its totient is φ = 820025818.

The previous prime is 820025813. The next prime is 820025879. The reversal of 820025819 is 918520028.

820025819 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 820025819 - 2¹² = 820021723 is a prime.

It is a super-2 number, since 2×820025819² = 1344884687653241522, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (820025813) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 410012909 + 410012910.

It is an arithmetic number, because the mean of its divisors is an integer number (410012910).

Almost surely, 2^820025819 is an apocalyptic number.

820025819 is a deficient number, since it is larger than the sum of its proper divisors (1).

820025819 is an equidigital number, since it uses as much as digits as its factorization.

820025819 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 11520, while the sum is 35.

The square root of 820025819 is about 28636.0929422992. The cubic root of 820025819 is about 935.9999859224. Note that the first 4 decimals are identical.

The spelling of 820025819 in words is "eight hundred twenty million, twenty-five thousand, eight hundred nineteen".