8050575625 has 45 divisors (see below), whose sum is σ = 10446928569. Its totient is φ = 6201792000.

The previous prime is 8050575613. The next prime is 8050575647. The reversal of 8050575625 is 5265750508.

The square root of 8050575625 is 89725.

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

It can be written as a sum of positive squares in 22 ways, for example, as 7934711929 + 115863696 = 89077^2 + 10764^2 .

It is not a de Polignac number, because 8050575625 - 2²³ = 8042187017 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 82995577 + ... + 82995673.

Almost surely, 2^8050575625 is an apocalyptic number.

8050575625 is the 89725-th square number.

8050575625 is the 44863-rd centered octagonal number.

It is an amenable number.

8050575625 is a deficient number, since it is larger than the sum of its proper divisors (2396352944).

8050575625 is an frugal number, since it uses more digits than its factorization.

8050575625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 288 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 420000, while the sum is 43.

The cubic root of 8050575625 is about 2004.2057849038.

The spelling of 8050575625 in words is "eight billion, fifty million, five hundred seventy-five thousand, six hundred twenty-five".