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217365380653 is a prime number
BaseRepresentation
bin1100101001101111111…
…1000111111000101101
3202210001120022102102211
43022123333013320231
512030131014140103
6243504542250421
721463342151641
oct3123377077055
9683046272384
10217365380653
11842030aa763
1236163286a11
1317660c22445
14a740512c21
1559c2c7236d
hex329bfc7e2d

217365380653 has 2 divisors, whose sum is σ = 217365380654. Its totient is φ = 217365380652.

The previous prime is 217365380623. The next prime is 217365380677. The reversal of 217365380653 is 356083563712.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 108832690404 + 108532690249 = 329898^2 + 329443^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-217365380653 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 217365380597 and 217365380606.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (217365380623) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 108682690326 + 108682690327.

It is an arithmetic number, because the mean of its divisors is an integer number (108682690327).

Almost surely, 2217365380653 is an apocalyptic number.

It is an amenable number.

217365380653 is a deficient number, since it is larger than the sum of its proper divisors (1).

217365380653 is an equidigital number, since it uses as much as digits as its factorization.

217365380653 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2721600, while the sum is 49.

The spelling of 217365380653 in words is "two hundred seventeen billion, three hundred sixty-five million, three hundred eighty thousand, six hundred fifty-three".