Search a number
-
+
335006566289 is a prime number
BaseRepresentation
bin1001101111111111111…
…00101000011110010001
31012000201011221211221022
410313333330220132101
520442043140110124
6413522213205225
733126526554353
oct4677774503621
91160634854838
10335006566289
1111a09152271a
1254b15030815
132578b511265
141230047b0d3
158aaaad9c5e
hex4dfff28791

335006566289 has 2 divisors, whose sum is σ = 335006566290. Its totient is φ = 335006566288.

The previous prime is 335006566283. The next prime is 335006566291. The reversal of 335006566289 is 982665600533.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 320514499600 + 14492066689 = 566140^2 + 120383^2 .

It is a cyclic number.

It is not a de Polignac number, because 335006566289 - 24 = 335006566273 is a prime.

It is a super-2 number, since 2×3350065662892 (a number of 24 digits) contains 22 as substring.

Together with 335006566291, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 335006566289.

It is not a weakly prime, because it can be changed into another prime (335006566283) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 167503283144 + 167503283145.

It is an arithmetic number, because the mean of its divisors is an integer number (167503283145).

Almost surely, 2335006566289 is an apocalyptic number.

It is an amenable number.

335006566289 is a deficient number, since it is larger than the sum of its proper divisors (1).

335006566289 is an equidigital number, since it uses as much as digits as its factorization.

335006566289 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 6998400, while the sum is 53.

The spelling of 335006566289 in words is "three hundred thirty-five billion, six million, five hundred sixty-six thousand, two hundred eighty-nine".