8005027825 has 12 divisors (see below), whose sum is σ = 9927383580. Its totient is φ = 6403280960.

The previous prime is 8005027819. The next prime is 8005027859. The reversal of 8005027825 is 5287205008.

It can be written as a sum of positive squares in 6 ways, for example, as 416527281 + 7588500544 = 20409^2 + 87112^2 .

It is not a de Polignac number, because 8005027825 - 2³ = 8005027817 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 331047 + ... + 354403.

It is an arithmetic number, because the mean of its divisors is an integer number (827281965).

Almost surely, 2^8005027825 is an apocalyptic number.

It is an amenable number.

8005027825 is a deficient number, since it is larger than the sum of its proper divisors (1922355755).

8005027825 is a wasteful number, since it uses less digits than its factorization.

8005027825 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37076 (or 37071 counting only the distinct ones).

The product of its (nonzero) digits is 44800, while the sum is 37.

The square root of 8005027825 is about 89470.8210815124. The cubic root of 8005027825 is about 2000.4188976729.

The spelling of 8005027825 in words is "eight billion, five million, twenty-seven thousand, eight hundred twenty-five".