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52616129 is a prime number
BaseRepresentation
bin1100100010110…
…1101111000001
310200000011202112
43020231233001
5101432204004
65115425105
71206141536
oct310555701
9120004675
1052616129
1127778305
1215755195
13ab93107
146db8d8d
154944e6e
hex322dbc1

52616129 has 2 divisors, whose sum is σ = 52616130. Its totient is φ = 52616128.

The previous prime is 52616093. The next prime is 52616143. The reversal of 52616129 is 92161625.

It is a happy number.

52616129 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., 42706225 + 9909904 = 6535^2 + 3148^2 .

It is a cyclic number.

It is not a de Polignac number, because 52616129 - 212 = 52612033 is a prime.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 52616095 and 52616104.

It is not a weakly prime, because it can be changed into another prime (52616329) 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, 26308064 + 26308065.

It is an arithmetic number, because the mean of its divisors is an integer number (26308065).

Almost surely, 252616129 is an apocalyptic number.

It is an amenable number.

52616129 is a deficient number, since it is larger than the sum of its proper divisors (1).

52616129 is an equidigital number, since it uses as much as digits as its factorization.

52616129 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 6480, while the sum is 32.

The square root of 52616129 is about 7253.6976088061. The cubic root of 52616129 is about 374.7195034286.

The spelling of 52616129 in words is "fifty-two million, six hundred sixteen thousand, one hundred twenty-nine".