52000013 has 8 divisors (see below), whose sum is σ = 57366456. Its totient is φ = 46828800.

The previous prime is 52000009. The next prime is 52000019. The reversal of 52000013 is 31000025.

52000013 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 4 ways, for example, as 6666724 + 45333289 = 2582^2 + 6733^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 52000013 - 2² = 52000009 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 51999958 and 52000003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52000019) 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 7 ways as a sum of consecutive naturals, for example, 48248 + ... + 49313.

It is an arithmetic number, because the mean of its divisors is an integer number (7170807).

Almost surely, 2^52000013 is an apocalyptic number.

It is an amenable number.

52000013 is a deficient number, since it is larger than the sum of its proper divisors (5366443).

52000013 is a wasteful number, since it uses less digits than its factorization.

52000013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97615.

The product of its (nonzero) digits is 30, while the sum is 11.

The square root of 52000013 is about 7211.1034523157. The cubic root of 52000013 is about 373.2511467860.

Adding to 52000013 its reverse (31000025), we get a palindrome (83000038).

It can be divided in two parts, 520000 and 13, that multiplied together give a square (6760000 = 2600²).

The spelling of 52000013 in words is "fifty-two million, thirteen", and thus it is an aban number and an uban number.