42561041 has 2 divisors, whose sum is σ = 42561042. Its totient is φ = 42561040.

The previous prime is 42561031. The next prime is 42561049. The reversal of 42561041 is 14016524.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 42315025 + 246016 = 6505^2 + 496^2 .

It is a cyclic number.

It is not a de Polignac number, because 42561041 - 2⁶ = 42560977 is a prime.

It is a super-2 number, since 2×42561041² = 3622884422007362, which contains 22 as substring.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 42560998 and 42561016.

It is not a weakly prime, because it can be changed into another prime (42561049) 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 as a sum of consecutive naturals, namely, 21280520 + 21280521.

It is an arithmetic number, because the mean of its divisors is an integer number (21280521).

Almost surely, 2^42561041 is an apocalyptic number.

It is an amenable number.

42561041 is a deficient number, since it is larger than the sum of its proper divisors (1).

42561041 is an equidigital number, since it uses as much as digits as its factorization.

42561041 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 960, while the sum is 23.

The square root of 42561041 is about 6523.8823563887. The cubic root of 42561041 is about 349.1435959970.

Adding to 42561041 its reverse (14016524), we get a palindrome (56577565).

The spelling of 42561041 in words is "forty-two million, five hundred sixty-one thousand, forty-one".