561506256 has 50 divisors (see below), whose sum is σ = 1625165762. Its totient is φ = 187168320.

The previous prime is 561506213. The next prime is 561506263. The reversal of 561506256 is 652605165.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 316270656 + 245235600 = 17784^2 + 15660^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 561506256.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 215335 + ... + 217926.

Almost surely, 2^561506256 is an apocalyptic number.

It is an amenable number.

561506256 is an abundant number, since it is smaller than the sum of its proper divisors (1063659506).

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

561506256 is a wasteful number, since it uses less digits than its factorization.

561506256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 433281 (or 433266 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 36.

The square root of 561506256 is about 23696.1232272285. The cubic root of 561506256 is about 824.9954115447.

The spelling of 561506256 in words is "five hundred sixty-one million, five hundred six thousand, two hundred fifty-six".