561015005985 has 160 divisors (see below), whose sum is σ = 1237579326720. Its totient is φ = 237285531648.

The previous prime is 561015005981. The next prime is 561015006061. The reversal of 561015005985 is 589500510165.

561015005985 is a `hidden beast` number, since 5 + 6 + 1 + 0 + 1 + 50 + 0 + 598 + 5 = 666.

It is not a de Polignac number, because 561015005985 - 2² = 561015005981 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 561015005985.

It is not an unprimeable number, because it can be changed into a prime (561015005981) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 2744857 + ... + 2942153.

It is an arithmetic number, because the mean of its divisors is an integer number (7734870792).

Almost surely, 2^561015005985 is an apocalyptic number.

It is an amenable number.

561015005985 is an abundant number, since it is smaller than the sum of its proper divisors (676564320735).

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

561015005985 is a wasteful number, since it uses less digits than its factorization.

561015005985 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197397 (or 197388 counting only the distinct ones).

The product of its (nonzero) digits is 270000, while the sum is 45.

The spelling of 561015005985 in words is "five hundred sixty-one billion, fifteen million, five thousand, nine hundred eighty-five".