52013413 has 2 divisors, whose sum is σ = 52013414. Its totient is φ = 52013412.

The previous prime is 52013411. The next prime is 52013417. The reversal of 52013413 is 31431025.

52013413 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 26440164 + 25573249 = 5142^2 + 5057^2 .

It is a cyclic number.

It is not a de Polignac number, because 52013413 - 2¹ = 52013411 is a prime.

Together with 52013411, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (52013411) 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 as a sum of consecutive naturals, namely, 26006706 + 26006707.

It is an arithmetic number, because the mean of its divisors is an integer number (26006707).

Almost surely, 2^52013413 is an apocalyptic number.

It is an amenable number.

52013413 is a deficient number, since it is larger than the sum of its proper divisors (1).

52013413 is an equidigital number, since it uses as much as digits as its factorization.

52013413 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 360, while the sum is 19.

The square root of 52013413 is about 7212.0325151791. The cubic root of 52013413 is about 373.2832053408.

Adding to 52013413 its reverse (31431025), we get a palindrome (83444438).

The spelling of 52013413 in words is "fifty-two million, thirteen thousand, four hundred thirteen".