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52008613 is a prime number
BaseRepresentation
bin1100011001100…
…1011010100101
310121212022101221
43012121122211
5101303233423
65054420341
71201031416
oct306313245
9117768357
1052008613
11273a2928
12155016b1
13aa0c737
146c9b80d
154874e5d
hex31996a5

52008613 has 2 divisors, whose sum is σ = 52008614. Its totient is φ = 52008612.

The previous prime is 52008611. The next prime is 52008673. The reversal of 52008613 is 31680025.

It is a happy number.

52008613 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., 38155329 + 13853284 = 6177^2 + 3722^2 .

It is a cyclic number.

It is not a de Polignac number, because 52008613 - 21 = 52008611 is a prime.

Together with 52008611, 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 (52008611) 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, 26004306 + 26004307.

It is an arithmetic number, because the mean of its divisors is an integer number (26004307).

Almost surely, 252008613 is an apocalyptic number.

It is an amenable number.

52008613 is a deficient number, since it is larger than the sum of its proper divisors (1).

52008613 is an equidigital number, since it uses as much as digits as its factorization.

52008613 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1440, while the sum is 25.

The square root of 52008613 is about 7211.6997302994. The cubic root of 52008613 is about 373.2717223124.

Adding to 52008613 its reverse (31680025), we get a palindrome (83688638).

The spelling of 52008613 in words is "fifty-two million, eight thousand, six hundred thirteen".