10560645225 has 243 divisors, whose sum is σ = 22482456399. Its totient is φ = 4735411200.

The previous prime is 10560645211. The next prime is 10560645239. The reversal of 10560645225 is 52254606501.

The square root of 10560645225 is 102765.

It is a perfect power (a square), and thus also a powerful number.

10560645225 is a `hidden beast` number, since 1 + 0 + 5 + 6 + 0 + 645 + 2 + 2 + 5 = 666.

It is an interprime number because it is at equal distance from previous prime (10560645211) and next prime (10560645239).

It can be written as a sum of positive squares in 13 ways, for example, as 7691114601 + 2869530624 = 87699^2 + 53568^2 .

It is not a de Polignac number, because 10560645225 - 2¹⁹ = 10560120937 is a prime.

It is a super-3 number, since 3×10560645225³ (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 10560645225.

It is an unprimeable number.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 340665960 + ... + 340665990.

Almost surely, 2^10560645225 is an apocalyptic number.

10560645225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

10560645225 is the 102765-th square number.

10560645225 is the 51383-rd centered octagonal number.

It is an amenable number.

10560645225 is an abundant number, since it is smaller than the sum of its proper divisors (11921811174).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10560645225 is a wasteful number, since it uses less digits than its factorization.

10560645225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

Multiplying 10560645225 by its sum of digits (36), we get a square (380183228100 = 616590²).

The spelling of 10560645225 in words is "ten billion, five hundred sixty million, six hundred forty-five thousand, two hundred twenty-five".