8482743625225 has 27 divisors (see below), whose sum is σ = 10558169754069. Its totient is φ = 6760762819200.

The previous prime is 8482743625171. The next prime is 8482743625339. The reversal of 8482743625225 is 5225263472848.

It is a happy number.

The square root of 8482743625225 is 2912515.

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 4057593836409 + 4425149788816 = 2014347^2 + 2103604^2 .

It is not a de Polignac number, because 8482743625225 - 2¹⁷ = 8482743494153 is a prime.

It is a super-2 number, since 2×8482743625225² (a number of 27 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (58) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 8482743625225.

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 26 ways as a sum of consecutive naturals, for example, 4528959889 + ... + 4528961761.

Almost surely, 2^{8482743625225} is an apocalyptic number.

8482743625225 is the 2912515-th square number.

8482743625225 is the 1456258-th centered octagonal number.

It is an amenable number.

8482743625225 is a deficient number, since it is larger than the sum of its proper divisors (2075426128844).

8482743625225 is an frugal number, since it uses more digits than its factorization.

8482743625225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4378 (or 2189 counting only the distinct ones).

The product of its digits is 51609600, while the sum is 58.

The spelling of 8482743625225 in words is "eight trillion, four hundred eighty-two billion, seven hundred forty-three million, six hundred twenty-five thousand, two hundred twenty-five".