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2517210217 is a prime number
BaseRepresentation
bin1001011000001001…
…1001010001101001
320111102120112021001
42112002121101221
520123401211332
61053440315001
7116243635204
oct22602312151
96442515231
102517210217
111081999325
125a3012a61
13311676b02
1419c45093b
15eaeca0e7
hex96099469

2517210217 has 2 divisors, whose sum is σ = 2517210218. Its totient is φ = 2517210216.

The previous prime is 2517210187. The next prime is 2517210253. The reversal of 2517210217 is 7120127152.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1936352016 + 580858201 = 44004^2 + 24101^2 .

It is a cyclic number.

It is not a de Polignac number, because 2517210217 - 27 = 2517210089 is a prime.

It is not a weakly prime, because it can be changed into another prime (2517210257) 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, 1258605108 + 1258605109.

It is an arithmetic number, because the mean of its divisors is an integer number (1258605109).

Almost surely, 22517210217 is an apocalyptic number.

It is an amenable number.

2517210217 is a deficient number, since it is larger than the sum of its proper divisors (1).

2517210217 is an equidigital number, since it uses as much as digits as its factorization.

2517210217 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1960, while the sum is 28.

The square root of 2517210217 is about 50171.8069935696. The cubic root of 2517210217 is about 1360.3160700287.

Adding to 2517210217 its reverse (7120127152), we get a palindrome (9637337369).

The spelling of 2517210217 in words is "two billion, five hundred seventeen million, two hundred ten thousand, two hundred seventeen".