561001056 has 192 divisors, whose sum is σ = 1900039680. Its totient is φ = 140636160.

The previous prime is 561001039. The next prime is 561001057. The reversal of 561001056 is 650100165.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (561001057) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 213060 + ... + 215676.

It is an arithmetic number, because the mean of its divisors is an integer number (9896040).

Almost surely, 2^561001056 is an apocalyptic number.

561001056 is a gapful number since it is divisible by the number (56) 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 561001056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (950019840).

561001056 is an abundant number, since it is smaller than the sum of its proper divisors (1339038624).

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

561001056 is a wasteful number, since it uses less digits than its factorization.

561001056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2677 (or 2669 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 24.

The square root of 561001056 is about 23685.4608568210. The cubic root of 561001056 is about 824.7479149005.

The spelling of 561001056 in words is "five hundred sixty-one million, one thousand, fifty-six".