561001050 has 144 divisors (see below), whose sum is σ = 1598201280. Its totient is φ = 140785920.

The previous prime is 561001039. The next prime is 561001057. The reversal of 561001050 is 50100165.

561001050 is a `hidden beast` number, since 5 + 610 + 0 + 1 + 0 + 50 = 666.

It is a super-2 number, since 2×561001050² = 629444356202205000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

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 71 ways as a sum of consecutive naturals, for example, 693046 + ... + 693854.

It is an arithmetic number, because the mean of its divisors is an integer number (11098620).

Almost surely, 2^561001050 is an apocalyptic number.

561001050 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 561001050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (799100640).

561001050 is an abundant number, since it is smaller than the sum of its proper divisors (1037200230).

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

561001050 is a wasteful number, since it uses less digits than its factorization.

561001050 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 917 (or 909 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 18.

The square root of 561001050 is about 23685.4607301610. The cubic root of 561001050 is about 824.7479119602.

The spelling of 561001050 in words is "five hundred sixty-one million, one thousand, fifty".