561759345 has 96 divisors (see below), whose sum is σ = 1153920768. Its totient is φ = 247463424.

The previous prime is 561759329. The next prime is 561759379. The reversal of 561759345 is 543957165.

561759345 is a `hidden beast` number, since 5 + 6 + 17 + 593 + 45 = 666.

561759345 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 561759345 - 2⁴ = 561759329 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 561759345.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1829682 + ... + 1829988.

It is an arithmetic number, because the mean of its divisors is an integer number (12020008).

Almost surely, 2^561759345 is an apocalyptic number.

It is an amenable number.

561759345 is an abundant number, since it is smaller than the sum of its proper divisors (592161423).

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

561759345 is a wasteful number, since it uses less digits than its factorization.

561759345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 519 (or 516 counting only the distinct ones).

The product of its digits is 567000, while the sum is 45.

The square root of 561759345 is about 23701.4629295324. The cubic root of 561759345 is about 825.1193436166.

The spelling of 561759345 in words is "five hundred sixty-one million, seven hundred fifty-nine thousand, three hundred forty-five".