2582015128225 has 81 divisors (see below), whose sum is σ = 3535122694233. Its totient is φ = 1869928082880.

The previous prime is 2582015128219. The next prime is 2582015128261. The reversal of 2582015128225 is 5228215102852.

The square root of 2582015128225 is 1606865.

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

2582015128225 is digitally balanced in base 3, 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 665518218849 + 1916496909376 = 815793^2 + 1384376^2 .

It is not a de Polignac number, because 2582015128225 - 2⁵ = 2582015128193 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, 6162327066 + ... + 6162327484.

Almost surely, 2^{2582015128225} is an apocalyptic number.

2582015128225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

2582015128225 is the 1606865-th square number.

2582015128225 is the 803433-rd centered octagonal number.

It is an amenable number.

2582015128225 is a deficient number, since it is larger than the sum of its proper divisors (953107566008).

2582015128225 is an frugal number, since it uses more digits than its factorization.

2582015128225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 992 (or 496 counting only the distinct ones).

The product of its (nonzero) digits is 256000, while the sum is 43.

The spelling of 2582015128225 in words is "two trillion, five hundred eighty-two billion, fifteen million, one hundred twenty-eight thousand, two hundred twenty-five".