561013364832 has 96 divisors (see below), whose sum is σ = 1484342496000. Its totient is φ = 185524028928.

The previous prime is 561013364761. The next prime is 561013364833. The reversal of 561013364832 is 238463310165.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (561013364833) 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 15 ways as a sum of consecutive naturals, for example, 11977683 + ... + 12024429.

It is an arithmetic number, because the mean of its divisors is an integer number (15461901000).

Almost surely, 2^561013364832 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 561013364832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (742171248000).

561013364832 is an abundant number, since it is smaller than the sum of its proper divisors (923329131168).

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

561013364832 is a wasteful number, since it uses less digits than its factorization.

561013364832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47748 (or 47740 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 42.

Adding to 561013364832 its reverse (238463310165), we get a palindrome (799476674997).

The spelling of 561013364832 in words is "five hundred sixty-one billion, thirteen million, three hundred sixty-four thousand, eight hundred thirty-two".