561005361 has 36 divisors (see below), whose sum is σ = 945850932. Its totient is φ = 319483584.

The previous prime is 561005329. The next prime is 561005363. The reversal of 561005361 is 163500165.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 231800625 + 329204736 = 15225^2 + 18144^2 .

It is not a de Polignac number, because 561005361 - 2⁵ = 561005329 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (561005363) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 137791 + ... + 141803.

It is an arithmetic number, because the mean of its divisors is an integer number (26273637).

Almost surely, 2^561005361 is an apocalyptic number.

It is an amenable number.

561005361 is a deficient number, since it is larger than the sum of its proper divisors (384845571).

561005361 is a wasteful number, since it uses less digits than its factorization.

561005361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4350 (or 4340 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 27.

The square root of 561005361 is about 23685.5517351824. The cubic root of 561005361 is about 824.7500245404.

The spelling of 561005361 in words is "five hundred sixty-one million, five thousand, three hundred sixty-one".