8564197396225 has 27 divisors (see below), whose sum is σ = 11281361112507. Its totient is φ = 6448149569280.

The previous prime is 8564197396217. The next prime is 8564197396231. The reversal of 8564197396225 is 5226937914658.

The square root of 8564197396225 is 2926465.

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 6145475706049 + 2418721690176 = 2479007^2 + 1555224^2 .

It is not a de Polignac number, because 8564197396225 - 2³ = 8564197396217 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 248732311 + ... + 248766739.

Almost surely, 2^{8564197396225} is an apocalyptic number.

8564197396225 is a gapful number since it is divisible by the number (85) formed by its first and last digit.

8564197396225 is the 2926465-th square number.

8564197396225 is the 1463233-rd centered octagonal number.

It is an amenable number.

8564197396225 is a deficient number, since it is larger than the sum of its proper divisors (2717163716282).

8564197396225 is an frugal number, since it uses more digits than its factorization.

8564197396225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68902 (or 34451 counting only the distinct ones).

The product of its digits is 195955200, while the sum is 67.

The spelling of 8564197396225 in words is "eight trillion, five hundred sixty-four billion, one hundred ninety-seven million, three hundred ninety-six thousand, two hundred twenty-five".