561553128 has 32 divisors (see below), whose sum is σ = 1559870400. Its totient is φ = 187184304.

The previous prime is 561553121. The next prime is 561553147. The reversal of 561553128 is 821355165.

It is a happy number.

561553128 is a `hidden beast` number, since 5 + 615 + 5 + 31 + 2 + 8 = 666.

561553128 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×561553128³ (a number of 27 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 561553092 and 561553101.

It is not an unprimeable number, because it can be changed into a prime (561553121) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1299676 + ... + 1300107.

It is an arithmetic number, because the mean of its divisors is an integer number (48745950).

Almost surely, 2^561553128 is an apocalyptic number.

It is an amenable number.

561553128 is an abundant number, since it is smaller than the sum of its proper divisors (998317272).

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

561553128 is a wasteful number, since it uses less digits than its factorization.

561553128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2599798 (or 2599788 counting only the distinct ones).

The product of its digits is 36000, while the sum is 36.

The square root of 561553128 is about 23697.1122291304. The cubic root of 561553128 is about 825.0183665333.

The spelling of 561553128 in words is "five hundred sixty-one million, five hundred fifty-three thousand, one hundred twenty-eight".