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51968129 is a prime number
BaseRepresentation
bin1100011000111…
…1100010000001
310121210020212112
43012033202001
5101300440004
65053505105
71200502403
oct306174201
9117706775
1051968129
1127375474
12154a2195
13a9c7195
146c8ab73
154867e6e
hex318f881

51968129 has 2 divisors, whose sum is σ = 51968130. Its totient is φ = 51968128.

The previous prime is 51968113. The next prime is 51968131. The reversal of 51968129 is 92186915.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 51093904 + 874225 = 7148^2 + 935^2 .

It is a cyclic number.

It is not a de Polignac number, because 51968129 - 24 = 51968113 is a prime.

Together with 51968131, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (51968159) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 25984064 + 25984065.

It is an arithmetic number, because the mean of its divisors is an integer number (25984065).

Almost surely, 251968129 is an apocalyptic number.

It is an amenable number.

51968129 is a deficient number, since it is larger than the sum of its proper divisors (1).

51968129 is an equidigital number, since it uses as much as digits as its factorization.

51968129 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 38880, while the sum is 41.

The square root of 51968129 is about 7208.8923559726. The cubic root of 51968129 is about 373.1748444158.

The spelling of 51968129 in words is "fifty-one million, nine hundred sixty-eight thousand, one hundred twenty-nine".