561353328 has 280 divisors, whose sum is σ = 1829682000. Its totient is φ = 165722112.

The previous prime is 561353323. The next prime is 561353333. The reversal of 561353328 is 823353165.

561353328 is a `hidden beast` number, since 5 + 613 + 5 + 3 + 32 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (561353323) and next prime (561353333).

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 = 561353292 and 561353301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (561353323) by changing a digit.

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 55 ways as a sum of consecutive naturals, for example, 3767398 + ... + 3767546.

Almost surely, 2^561353328 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 561353328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (914841000).

561353328 is an abundant number, since it is smaller than the sum of its proper divisors (1268328672).

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

561353328 is a wasteful number, since it uses less digits than its factorization.

561353328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211 (or 190 counting only the distinct ones).

The product of its digits is 64800, while the sum is 36.

The square root of 561353328 is about 23692.8961505342. The cubic root of 561353328 is about 824.9205080434.

The spelling of 561353328 in words is "five hundred sixty-one million, three hundred fifty-three thousand, three hundred twenty-eight".