561010001000 has 128 divisors (see below), whose sum is σ = 1343679667200. Its totient is φ = 219140467200.

The previous prime is 561010000949. The next prime is 561010001023. The reversal of 561010001000 is 100010165.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 21465941 + ... + 21492059.

It is an arithmetic number, because the mean of its divisors is an integer number (10497497400).

Almost surely, 2^561010001000 is an apocalyptic number.

561010001000 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 561010001000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (671839833600).

561010001000 is an abundant number, since it is smaller than the sum of its proper divisors (782669666200).

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

561010001000 is a wasteful number, since it uses less digits than its factorization.

561010001000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26644 (or 26630 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 14.

Adding to 561010001000 its reverse (100010165), we get a palindrome (561110011165).

The spelling of 561010001000 in words is "five hundred sixty-one billion, ten million, one thousand".