42116535 has 48 divisors (see below), whose sum is σ = 75635040. Its totient is φ = 21669120.

The previous prime is 42116533. The next prime is 42116537. The reversal of 42116535 is 53561124.

42116535 is a `hidden beast` number, since 4 + 2 + 1 + 1 + 653 + 5 = 666.

42116535 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (42116533) and next prime (42116537).

It is not a de Polignac number, because 42116535 - 2¹ = 42116533 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 42116499 and 42116508.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42116533) 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 47 ways as a sum of consecutive naturals, for example, 183801 + ... + 184029.

It is an arithmetic number, because the mean of its divisors is an integer number (1575730).

Almost surely, 2^42116535 is an apocalyptic number.

42116535 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

42116535 is a deficient number, since it is larger than the sum of its proper divisors (33518505).

42116535 is a wasteful number, since it uses less digits than its factorization.

42116535 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 368 (or 365 counting only the distinct ones).

The product of its digits is 3600, while the sum is 27.

The square root of 42116535 is about 6489.7253408754. The cubic root of 42116535 is about 347.9238586885.

Adding to 42116535 its reverse (53561124), we get a palindrome (95677659).

The spelling of 42116535 in words is "forty-two million, one hundred sixteen thousand, five hundred thirty-five".