561616511000 has 64 divisors (see below), whose sum is σ = 1315037954880. Its totient is φ = 224500396800.

The previous prime is 561616510991. The next prime is 561616511011. The reversal of 561616511000 is 115616165.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1361012 + ... + 1724988.

It is an arithmetic number, because the mean of its divisors is an integer number (20547468045).

Almost surely, 2^561616511000 is an apocalyptic number.

561616511000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 561616511000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (657518977440).

561616511000 is an abundant number, since it is smaller than the sum of its proper divisors (753421443880).

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

561616511000 is a wasteful number, since it uses less digits than its factorization.

561616511000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 365541 (or 365527 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 32.

The spelling of 561616511000 in words is "five hundred sixty-one billion, six hundred sixteen million, five hundred eleven thousand".