8705066689225 has 81 divisors (see below), whose sum is σ = 11613458921247. Its totient is φ = 6471507732480.

The previous prime is 8705066689199. The next prime is 8705066689237. The reversal of 8705066689225 is 5229866605078.

The square root of 8705066689225 is 2950435.

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 5096085017401 + 3608981671824 = 2257451^2 + 1899732^2 .

It is not a de Polignac number, because 8705066689225 - 2⁹ = 8705066688713 is a prime.

It is a super-2 number, since 2×8705066689225² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 25831058257 + ... + 25831058593.

Almost surely, 2^{8705066689225} is an apocalyptic number.

8705066689225 is a gapful number since it is divisible by the number (85) formed by its first and last digit.

8705066689225 is the 2950435-th square number.

8705066689225 is the 1475218-th centered octagonal number.

It is an amenable number.

8705066689225 is a deficient number, since it is larger than the sum of its proper divisors (2908392232022).

8705066689225 is an equidigital number, since it uses as much as digits as its factorization.

8705066689225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 924 (or 462 counting only the distinct ones).

The product of its (nonzero) digits is 87091200, while the sum is 64.

Multiplying 8705066689225 by its sum of digits (64), we get a square (557124268110400 = 23603480²).

The spelling of 8705066689225 in words is "eight trillion, seven hundred five billion, sixty-six million, six hundred eighty-nine thousand, two hundred twenty-five".