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51003217 is a prime number
BaseRepresentation
bin1100001010001…
…1111101010001
310112222020021001
43002203331101
5101024100332
65021102001
71156343266
oct302437521
9115866231
1051003217
1126876521
12150b7901
13a749c25
146ab926d
1547270e7
hex30a3f51

51003217 has 2 divisors, whose sum is σ = 51003218. Its totient is φ = 51003216.

The previous prime is 51003191. The next prime is 51003223. The reversal of 51003217 is 71230015.

51003217 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., 28259856 + 22743361 = 5316^2 + 4769^2 .

It is a cyclic number.

It is not a de Polignac number, because 51003217 - 27 = 51003089 is a prime.

It is a super-3 number, since 3×510032173 (a number of 24 digits) contains 333 as substring.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 51003194 and 51003203.

It is not a weakly prime, because it can be changed into another prime (51003287) 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, 25501608 + 25501609.

It is an arithmetic number, because the mean of its divisors is an integer number (25501609).

Almost surely, 251003217 is an apocalyptic number.

It is an amenable number.

51003217 is a deficient number, since it is larger than the sum of its proper divisors (1).

51003217 is an equidigital number, since it uses as much as digits as its factorization.

51003217 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 210, while the sum is 19.

The square root of 51003217 is about 7141.6536600426. The cubic root of 51003217 is about 370.8507741604.

The spelling of 51003217 in words is "fifty-one million, three thousand, two hundred seventeen".