42564533 has 6 divisors (see below), whose sum is σ = 46785942. Its totient is φ = 38694920.

The previous prime is 42564527. The next prime is 42564551. The reversal of 42564533 is 33546524.

It can be written as a sum of positive squares in only one way, i.e., 40424164 + 2140369 = 6358^2 + 1463^2 .

It is not a de Polignac number, because 42564533 - 2¹⁰ = 42563509 is a prime.

It is a super-3 number, since 3×42564533³ (a number of 24 digits) contains 333 as substring.

It is a Duffinian number.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 42564533.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42504533) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 175766 + ... + 176007.

It is an arithmetic number, because the mean of its divisors is an integer number (7797657).

Almost surely, 2^42564533 is an apocalyptic number.

It is an amenable number.

42564533 is a deficient number, since it is larger than the sum of its proper divisors (4221409).

42564533 is a wasteful number, since it uses less digits than its factorization.

42564533 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 351795 (or 351784 counting only the distinct ones).

The product of its digits is 43200, while the sum is 32.

The square root of 42564533 is about 6524.1499829480. The cubic root of 42564533 is about 349.1531444484.

Subtracting from 42564533 its reverse (33546524), we obtain a square (9018009 = 3003²).

The spelling of 42564533 in words is "forty-two million, five hundred sixty-four thousand, five hundred thirty-three".