561005536 has 96 divisors (see below), whose sum is σ = 1388620800. Its totient is φ = 217161216.

The previous prime is 561005527. The next prime is 561005587. The reversal of 561005536 is 635500165.

It is a super-2 number, since 2×561005536² = 629454422845294592, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 561005498 and 561005507.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 134815 + ... + 138913.

It is an arithmetic number, because the mean of its divisors is an integer number (14464800).

Almost surely, 2^561005536 is an apocalyptic number.

561005536 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 561005536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (694310400).

561005536 is an abundant number, since it is smaller than the sum of its proper divisors (827615264).

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

561005536 is a wasteful number, since it uses less digits than its factorization.

561005536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4176 (or 4168 counting only the distinct ones).

The product of its (nonzero) digits is 13500, while the sum is 31.

The square root of 561005536 is about 23685.5554294173. Note that the first 3 decimals coincide. The cubic root of 561005536 is about 824.7501102979.

It can be divided in two parts, 56 and 1005536, that multiplied together give a square (56310016 = 7504²).

The spelling of 561005536 in words is "five hundred sixty-one million, five thousand, five hundred thirty-six".