25584021544225 has 27 divisors (see below), whose sum is σ = 32057685769707. Its totient is φ = 20254272698880.

The previous prime is 25584021544219. The next prime is 25584021544247. The reversal of 25584021544225 is 52244512048552.

The square root of 25584021544225 is 5058065.

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

It can be written as a sum of positive squares in 13 ways, for example, as 2104724888289 + 23479296655936 = 1450767^2 + 4845544^2 .

It is not a de Polignac number, because 25584021544225 - 2¹⁵ = 25584021511457 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 2453156311 + ... + 2453166739.

Almost surely, 2^{25584021544225} is an apocalyptic number.

25584021544225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

25584021544225 is the 5058065-th square number.

25584021544225 is the 2529033-rd centered octagonal number.

It is an amenable number.

25584021544225 is a deficient number, since it is larger than the sum of its proper divisors (6473664225482).

25584021544225 is an frugal number, since it uses more digits than its factorization.

25584021544225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21062 (or 10531 counting only the distinct ones).

The product of its (nonzero) digits is 5120000, while the sum is 49.

The spelling of 25584021544225 in words is "twenty-five trillion, five hundred eighty-four billion, twenty-one million, five hundred forty-four thousand, two hundred twenty-five".