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52108129 is a prime number
BaseRepresentation
bin1100011011000…
…1101101100001
310122001100220201
43012301231201
5101314430004
65100505201
71201624513
oct306615541
9118040821
1052108129
1127460677
121554b201
13aa45b18
146cc5bb3
1548946a4
hex31b1b61

52108129 has 2 divisors, whose sum is σ = 52108130. Its totient is φ = 52108128.

The previous prime is 52108123. The next prime is 52108141. The reversal of 52108129 is 92180125.

52108129 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., 34869025 + 17239104 = 5905^2 + 4152^2 .

It is a cyclic number.

It is not a de Polignac number, because 52108129 - 223 = 43719521 is a prime.

It is equal to p3119941 and since 52108129 and 3119941 have the same sum of digits, it is a Honaker prime.

It is a junction number, because it is equal to n+sod(n) for n = 52108097 and 52108106.

It is not a weakly prime, because it can be changed into another prime (52108123) 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, 26054064 + 26054065.

It is an arithmetic number, because the mean of its divisors is an integer number (26054065).

Almost surely, 252108129 is an apocalyptic number.

It is an amenable number.

52108129 is a deficient number, since it is larger than the sum of its proper divisors (1).

52108129 is an equidigital number, since it uses as much as digits as its factorization.

52108129 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 28.

The square root of 52108129 is about 7218.5960546356. The cubic root of 52108129 is about 373.5096498340.

The spelling of 52108129 in words is "fifty-two million, one hundred eight thousand, one hundred twenty-nine".