561323100 has 144 divisors (see below), whose sum is σ = 1761748352. Its totient is φ = 137168640.

The previous prime is 561323083. The next prime is 561323141. The reversal of 561323100 is 1323165.

It is a super-2 number, since 2×561323100² = 630167245187220000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 635259 + ... + 636141.

Almost surely, 2^561323100 is an apocalyptic number.

561323100 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 561323100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (880874176).

561323100 is an abundant number, since it is smaller than the sum of its proper divisors (1200425252).

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

561323100 is a wasteful number, since it uses less digits than its factorization.

561323100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1076 (or 1069 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 21.

The square root of 561323100 is about 23692.2582292191. The cubic root of 561323100 is about 824.9057008839.

Adding to 561323100 its reverse (1323165), we get a palindrome (562646265).

The spelling of 561323100 in words is "five hundred sixty-one million, three hundred twenty-three thousand, one hundred".