561245256 has 288 divisors, whose sum is σ = 1897197120. Its totient is φ = 147744000.

The previous prime is 561245239. The next prime is 561245261. The reversal of 561245256 is 652542165.

561245256 is a `hidden beast` number, since 5 + 6 + 124 + 525 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

Its product of digits (72000) is a multiple of the sum of its prime factors (225).

It is a self number, because there is not a number n which added to its sum of digits gives 561245256.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3716781 + ... + 3716931.

It is an arithmetic number, because the mean of its divisors is an integer number (6587490).

Almost surely, 2^561245256 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 561245256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (948598560).

561245256 is an abundant number, since it is smaller than the sum of its proper divisors (1335951864).

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

561245256 is a wasteful number, since it uses less digits than its factorization.

561245256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225 (or 199 counting only the distinct ones).

The product of its digits is 72000, while the sum is 36.

The square root of 561245256 is about 23690.6153571409. The cubic root of 561245256 is about 824.8675666210.

The spelling of 561245256 in words is "five hundred sixty-one million, two hundred forty-five thousand, two hundred fifty-six".