42561306 has 12 divisors (see below), whose sum is σ = 92216202. Its totient is φ = 14187096.

The previous prime is 42561289. The next prime is 42561307. The reversal of 42561306 is 60316524.

42561306 is a `hidden beast` number, since 42 + 5 + 613 + 0 + 6 = 666.

42561306 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 27468081 + 15093225 = 5241^2 + 3885^2 .

It is a super-2 number, since 2×42561306² = 3622929536851272, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 42561306.

It is not an unprimeable number, because it can be changed into a prime (42561307) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1182241 + ... + 1182276.

Almost surely, 2^42561306 is an apocalyptic number.

42561306 is an abundant number, since it is smaller than the sum of its proper divisors (49654896).

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

42561306 is a wasteful number, since it uses less digits than its factorization.

42561306 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2364525 (or 2364522 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 42561306 is about 6523.9026663493. The cubic root of 42561306 is about 349.1443206258.

The spelling of 42561306 in words is "forty-two million, five hundred sixty-one thousand, three hundred six".