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51363329 is a prime number
BaseRepresentation
bin1100001111101…
…1111000000001
310120122112020112
43003323320001
5101122111304
65032521105
71162403213
oct303737001
9116575215
1051363329
1126aa2036
1215250195
13a844b04
146b705b3
154798b6e
hex30fbe01

51363329 has 2 divisors, whose sum is σ = 51363330. Its totient is φ = 51363328.

The previous prime is 51363269. The next prime is 51363331. The reversal of 51363329 is 92336315.

51363329 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., 42601729 + 8761600 = 6527^2 + 2960^2 .

It is a cyclic number.

It is not a de Polignac number, because 51363329 - 28 = 51363073 is a prime.

Together with 51363331, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 51363295 and 51363304.

It is not a weakly prime, because it can be changed into another prime (51363029) 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, 25681664 + 25681665.

It is an arithmetic number, because the mean of its divisors is an integer number (25681665).

Almost surely, 251363329 is an apocalyptic number.

It is an amenable number.

51363329 is a deficient number, since it is larger than the sum of its proper divisors (1).

51363329 is an equidigital number, since it uses as much as digits as its factorization.

51363329 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 14580, while the sum is 32.

The square root of 51363329 is about 7166.8214014303. The cubic root of 51363329 is about 371.7215344827.

The spelling of 51363329 in words is "fifty-one million, three hundred sixty-three thousand, three hundred twenty-nine".