560813825 has 54 divisors (see below), whose sum is σ = 828450882. Its totient is φ = 376147200.

The previous prime is 560813789. The next prime is 560813863. The reversal of 560813825 is 528318065.

It can be written as a sum of positive squares in 9 ways, for example, as 415466689 + 145347136 = 20383^2 + 12056^2 .

It is not a de Polignac number, because 560813825 - 2⁸ = 560813569 is a prime.

It is a super-2 number, since 2×560813825² = 629024292622261250, which contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 510677 + ... + 511773.

It is an arithmetic number, because the mean of its divisors is an integer number (15341683).

Almost surely, 2^560813825 is an apocalyptic number.

560813825 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

560813825 is a deficient number, since it is larger than the sum of its proper divisors (267637057).

560813825 is a wasteful number, since it uses less digits than its factorization.

560813825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1155 (or 1126 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 38.

The square root of 560813825 is about 23681.5080812012. The cubic root of 560813825 is about 824.6561530062.

The spelling of 560813825 in words is "five hundred sixty million, eight hundred thirteen thousand, eight hundred twenty-five".