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52848013 is a prime number
BaseRepresentation
bin1100100110011…
…0010110001101
310200102221211211
43021212112031
5102012114023
65124414421
71211125561
oct311462615
9120387754
1052848013
1127916549
1215847411
13ac4481a
1470396a1
15498da0d
hex326658d

52848013 has 2 divisors, whose sum is σ = 52848014. Its totient is φ = 52848012.

The previous prime is 52848001. The next prime is 52848017. The reversal of 52848013 is 31084825.

52848013 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 50651689 + 2196324 = 7117^2 + 1482^2 .

It is a cyclic number.

It is not a de Polignac number, because 52848013 - 225 = 19293581 is a prime.

It is equal to p3161497 and since 52848013 and 3161497 have the same sum of digits, it is a Honaker prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (52848017) 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, 26424006 + 26424007.

It is an arithmetic number, because the mean of its divisors is an integer number (26424007).

Almost surely, 252848013 is an apocalyptic number.

It is an amenable number.

52848013 is a deficient number, since it is larger than the sum of its proper divisors (1).

52848013 is an equidigital number, since it uses as much as digits as its factorization.

52848013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 7680, while the sum is 31.

The square root of 52848013 is about 7269.6638849399. The cubic root of 52848013 is about 375.2691708940.

The spelling of 52848013 in words is "fifty-two million, eight hundred forty-eight thousand, thirteen".