42652013 has 6 divisors (see below), whose sum is σ = 43719402. Its totient is φ = 41610080.

The previous prime is 42652003. The next prime is 42652037. The reversal of 42652013 is 31025624.

42652013 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 10355524 + 32296489 = 3218^2 + 5683^2 .

It is not a de Polignac number, because 42652013 - 2⁶ = 42651949 is a prime.

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 42652013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42652003) 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 5 ways as a sum of consecutive naturals, for example, 11006 + ... + 14367.

It is an arithmetic number, because the mean of its divisors is an integer number (7286567).

Almost surely, 2^42652013 is an apocalyptic number.

It is an amenable number.

42652013 is a deficient number, since it is larger than the sum of its proper divisors (1067389).

42652013 is an equidigital number, since it uses as much as digits as its factorization.

42652013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25455 (or 25414 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 23.

The square root of 42652013 is about 6530.8508634021. The cubic root of 42652013 is about 349.3921776985.

Adding to 42652013 its reverse (31025624), we get a palindrome (73677637).

The spelling of 42652013 in words is "forty-two million, six hundred fifty-two thousand, thirteen".