561051000 has 384 divisors, whose sum is σ = 2124532800. Its totient is φ = 132710400.

The previous prime is 561050947. The next prime is 561051037. The reversal of 561051000 is 150165.

561051000 is a `hidden beast` number, since 5 + 610 + 51 + 0 + 0 + 0 = 666.

561051000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2906904 + ... + 2907096.

Almost surely, 2^561051000 is an apocalyptic number.

561051000 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 561051000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1062266400).

561051000 is an abundant number, since it is smaller than the sum of its proper divisors (1563481800).

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

561051000 is a wasteful number, since it uses less digits than its factorization.

561051000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256 (or 239 counting only the distinct ones).

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

The square root of 561051000 is about 23686.5151510306. The cubic root of 561051000 is about 824.7723890003.

The spelling of 561051000 in words is "five hundred sixty-one million, fifty-one thousand".