4082571025 has 27 divisors (see below), whose sum is σ = 5487339729. Its totient is φ = 3011754720.

The previous prime is 4082570981. The next prime is 4082571061. The reversal of 4082571025 is 5201752804.

It is a happy number.

The square root of 4082571025 is 63895.

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

It can be written as a sum of positive squares in 4 ways, for example, as 1052288721 + 3030282304 = 32439^2 + 55048^2 .

It is not a de Polignac number, because 4082571025 - 2²⁵ = 4049016593 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 26 ways as a sum of consecutive naturals, for example, 4152684 + ... + 4153666.

Almost surely, 2^4082571025 is an apocalyptic number.

4082571025 is the 63895-th square number.

4082571025 is the 31948-th centered octagonal number.

It is an amenable number.

4082571025 is a deficient number, since it is larger than the sum of its proper divisors (1404768704).

4082571025 is an frugal number, since it uses more digits than its factorization.

4082571025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2002 (or 1001 counting only the distinct ones).

The product of its (nonzero) digits is 22400, while the sum is 34.

The cubic root of 4082571025 is about 1598.2495211351.

The spelling of 4082571025 in words is "four billion, eighty-two million, five hundred seventy-one thousand, twenty-five".