561735000 has 400 divisors, whose sum is σ = 2097922200. Its totient is φ = 139968000.

The previous prime is 561734963. The next prime is 561735037. The reversal of 561735000 is 537165.

561735000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (561734963) and next prime (561735037).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 99 ways as a sum of consecutive naturals, for example, 7694964 + ... + 7695036.

Almost surely, 2^561735000 is an apocalyptic number.

561735000 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 561735000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1048961100).

561735000 is an abundant number, since it is smaller than the sum of its proper divisors (1536187200).

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

561735000 is a wasteful number, since it uses less digits than its factorization.

561735000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 3150, while the sum is 27.

The square root of 561735000 is about 23700.9493480746. The cubic root of 561735000 is about 825.1074240281.

The spelling of 561735000 in words is "five hundred sixty-one million, seven hundred thirty-five thousand".