2782035025 has 81 divisors (see below), whose sum is σ = 4443352977. Its totient is φ = 1721596800.

The previous prime is 2782034999. The next prime is 2782035041. The reversal of 2782035025 is 5205302872.

The square root of 2782035025 is 52745.

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

2782035025 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 4 ways, for example, as 8116801 + 2773918224 = 2849^2 + 52668^2 .

It is not a de Polignac number, because 2782035025 - 2⁵ = 2782034993 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 20306757 + ... + 20306893.

Almost surely, 2^2782035025 is an apocalyptic number.

2782035025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

2782035025 is the 52745-th square number.

2782035025 is the 26373-rd centered octagonal number.

It is an amenable number.

2782035025 is a deficient number, since it is larger than the sum of its proper divisors (1661317952).

2782035025 is a wasteful number, since it uses less digits than its factorization.

2782035025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 320 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 34.

The cubic root of 2782035025 is about 1406.4388825465.

Adding to 2782035025 its reverse (5205302872), we get a palindrome (7987337897).

The spelling of 2782035025 in words is "two billion, seven hundred eighty-two million, thirty-five thousand, twenty-five".