561255000 has 320 divisors, whose sum is σ = 1943377920. Its totient is φ = 134400000.

The previous prime is 561254989. The next prime is 561255007. The reversal of 561255000 is 552165.

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 (561255007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 7904965 + ... + 7905035.

It is an arithmetic number, because the mean of its divisors is an integer number (6073056).

Almost surely, 2^561255000 is an apocalyptic number.

561255000 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 561255000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (971688960).

561255000 is an abundant number, since it is smaller than the sum of its proper divisors (1382122920).

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

561255000 is a wasteful number, since it uses less digits than its factorization.

561255000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 1500, while the sum is 24.

The square root of 561255000 is about 23690.8210073015. The cubic root of 561255000 is about 824.8723402103.

The spelling of 561255000 in words is "five hundred sixty-one million, two hundred fifty-five thousand".