820905325 has 6 divisors (see below), whose sum is σ = 1017922634. Its totient is φ = 656724240.

The previous prime is 820905313. The next prime is 820905329. The reversal of 820905325 is 523509028.

820905325 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 10876804 + 810028521 = 3298^2 + 28461^2 .

It is not a de Polignac number, because 820905325 - 2⁹ = 820904813 is a prime.

It is a super-2 number, since 2×820905325² = 1347771105226711250, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (820905329) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 16418082 + ... + 16418131.

Almost surely, 2^820905325 is an apocalyptic number.

It is an amenable number.

820905325 is a deficient number, since it is larger than the sum of its proper divisors (197017309).

820905325 is a wasteful number, since it uses less digits than its factorization.

820905325 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32836223 (or 32836218 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 34.

The square root of 820905325 is about 28651.4454260165. The cubic root of 820905325 is about 936.3344971252.

The spelling of 820905325 in words is "eight hundred twenty million, nine hundred five thousand, three hundred twenty-five".