2577085225 has 81 divisors (see below), whose sum is σ = 3857804517. Its totient is φ = 1705704000.

The previous prime is 2577085193. The next prime is 2577085229. The reversal of 2577085225 is 5225807752.

The square root of 2577085225 is 50765.

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

2577085225 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 664247529 + 1912837696 = 25773^2 + 43736^2 .

It is not a de Polignac number, because 2577085225 - 2⁵ = 2577085193 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2577085229) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 36296940 + ... + 36297010.

Almost surely, 2^2577085225 is an apocalyptic number.

2577085225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

2577085225 is the 50765-th square number.

2577085225 is the 25383-rd centered octagonal number.

It is an amenable number.

2577085225 is a deficient number, since it is larger than the sum of its proper divisors (1280719292).

2577085225 is a wasteful number, since it uses less digits than its factorization.

2577085225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 392000, while the sum is 43.

The cubic root of 2577085225 is about 1371.0172750670.

The spelling of 2577085225 in words is "two billion, five hundred seventy-seven million, eighty-five thousand, two hundred twenty-five".