42531633 has 12 divisors (see below), whose sum is σ = 64668240. Its totient is φ = 26861976.

The previous prime is 42531617. The next prime is 42531641. The reversal of 42531633 is 33613524.

It is a happy number.

42531633 is a `hidden beast` number, since 4 + 25 + 3 + 1 + 633 = 666.

42531633 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 42531633 - 2⁴ = 42531617 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 42531597 and 42531606.

It is not an unprimeable number, because it can be changed into a prime (42531613) 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 11 ways as a sum of consecutive naturals, for example, 124191 + ... + 124532.

It is an arithmetic number, because the mean of its divisors is an integer number (5389020).

Almost surely, 2^42531633 is an apocalyptic number.

It is an amenable number.

42531633 is a deficient number, since it is larger than the sum of its proper divisors (22136607).

42531633 is a wasteful number, since it uses less digits than its factorization.

42531633 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248748 (or 248745 counting only the distinct ones).

The product of its digits is 6480, while the sum is 27.

The square root of 42531633 is about 6521.6280942722. The cubic root of 42531633 is about 349.0631626525.

It can be divided in two parts, 4253 and 1633, that added together give a triangular number (5886 = T₁₀₈).

The spelling of 42531633 in words is "forty-two million, five hundred thirty-one thousand, six hundred thirty-three".