560993510025 has 243 divisors, whose sum is σ = 1144254158229. Its totient is φ = 262591655040.

The previous prime is 560993510023. The next prime is 560993510039. The reversal of 560993510025 is 520015399065.

The square root of 560993510025 is 748995.

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

560993510025 is a `hidden beast` number, since 5 + 609 + 9 + 3 + 5 + 10 + 0 + 25 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 144596907081 + 416396602944 = 380259^2 + 645288^2 .

It is not a de Polignac number, because 560993510025 - 2¹ = 560993510023 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (560993510023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 3359242492 + ... + 3359242658.

Almost surely, 2^560993510025 is an apocalyptic number.

560993510025 is the 748995-th square number.

560993510025 is the 374498-th centered octagonal number.

It is an amenable number.

560993510025 is an abundant number, since it is smaller than the sum of its proper divisors (583260648204).

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

560993510025 is a wasteful number, since it uses less digits than its factorization.

560993510025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 422 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 364500, while the sum is 45.

The spelling of 560993510025 in words is "five hundred sixty billion, nine hundred ninety-three million, five hundred ten thousand, twenty-five".