42054561 has 12 divisors (see below), whose sum is σ = 62227620. Its totient is φ = 27352320.

The previous prime is 42054541. The next prime is 42054577. The reversal of 42054561 is 16545024.

42054561 is a `hidden beast` number, since 4 + 205 + 456 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 23184225 + 18870336 = 4815^2 + 4344^2 .

It is not a de Polignac number, because 42054561 - 2¹¹ = 42052513 is a prime.

It is a super-2 number, since 2×42054561² = 3537172201805442, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (42054541) 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 11 ways as a sum of consecutive naturals, for example, 56616 + ... + 57353.

It is an arithmetic number, because the mean of its divisors is an integer number (5185635).

Almost surely, 2^42054561 is an apocalyptic number.

42054561 is a gapful number since it is divisible by the number (41) formed by its first and last digit.

It is an amenable number.

42054561 is a deficient number, since it is larger than the sum of its proper divisors (20173059).

42054561 is a wasteful number, since it uses less digits than its factorization.

42054561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114016 (or 114013 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 42054561 is about 6484.9488047324. The cubic root of 42054561 is about 347.7531195868.

Adding to 42054561 its reverse (16545024), we get a palindrome (58599585).

The spelling of 42054561 in words is "forty-two million, fifty-four thousand, five hundred sixty-one".