8825563516225 has 9 divisors (see below), whose sum is σ = 10943717179017. Its totient is φ = 7060438929840.

The previous prime is 8825563516153. The next prime is 8825563516229. The reversal of 8825563516225 is 5226153655288.

The square root of 8825563516225 is 2970785.

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 15447258369 + 8810116257856 = 124287^2 + 2968184^2 .

It is not a de Polignac number, because 8825563516225 - 2¹⁷ = 8825563385153 is a prime.

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 8825563516225.

It is not an unprimeable number, because it can be changed into a prime (8825563516229) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 14556847 + ... + 15151003.

Almost surely, 2^{8825563516225} is an apocalyptic number.

8825563516225 is the 2970785-th square number.

8825563516225 is the 1485393-rd centered octagonal number.

It is an amenable number.

8825563516225 is a deficient number, since it is larger than the sum of its proper divisors (2118153662792).

8825563516225 is an frugal number, since it uses more digits than its factorization.

8825563516225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1188324 (or 594162 counting only the distinct ones).

The product of its digits is 34560000, while the sum is 58.

The spelling of 8825563516225 in words is "eight trillion, eight hundred twenty-five billion, five hundred sixty-three million, five hundred sixteen thousand, two hundred twenty-five".