8230214257225 has 27 divisors (see below), whose sum is σ = 10841421437301. Its totient is φ = 6196683600000.

The previous prime is 8230214257219. The next prime is 8230214257273. The reversal of 8230214257225 is 5227524120328.

The square root of 8230214257225 is 2868835.

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 192512970169 + 8037701287056 = 438763^2 + 2835084^2 .

It is not a de Polignac number, because 8230214257225 - 2³⁵ = 8195854518857 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, 243834100 + ... + 243867850.

Almost surely, 2^{8230214257225} is an apocalyptic number.

8230214257225 is a gapful number since it is divisible by the number (85) formed by its first and last digit.

8230214257225 is the 2868835-th square number.

8230214257225 is the 1434418-th centered octagonal number.

It is an amenable number.

8230214257225 is a deficient number, since it is larger than the sum of its proper divisors (2611207180076).

8230214257225 is an frugal number, since it uses more digits than its factorization.

8230214257225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67546 (or 33773 counting only the distinct ones).

The product of its (nonzero) digits is 537600, while the sum is 43.

The spelling of 8230214257225 in words is "eight trillion, two hundred thirty billion, two hundred fourteen million, two hundred fifty-seven thousand, two hundred twenty-five".