823075345225 has 105 divisors (see below), whose sum is σ = 1244837400487. Its totient is φ = 539855630160.

The previous prime is 823075345223. The next prime is 823075345229. The reversal of 823075345225 is 522543570328.

The square root of 823075345225 is 907235.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 296307124281 + 526768220944 = 544341^2 + 725788^2 .

It is not a de Polignac number, because 823075345225 - 2¹ = 823075345223 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (823075345223) by changing a digit.

It is a polite number, since it can be written in 104 ways as a sum of consecutive naturals, for example, 35785884564 + ... + 35785884586.

Almost surely, 2^823075345225 is an apocalyptic number.

823075345225 is the 907235-th square number.

823075345225 is the 453618-th centered octagonal number.

It is an amenable number.

823075345225 is a deficient number, since it is larger than the sum of its proper divisors (421762055262).

823075345225 is an frugal number, since it uses more digits than its factorization.

823075345225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 35 counting only the distinct ones).

The product of its (nonzero) digits is 2016000, while the sum is 46.

The spelling of 823075345225 in words is "eight hundred twenty-three billion, seventy-five million, three hundred forty-five thousand, two hundred twenty-five".