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2165272511 is a prime number
BaseRepresentation
bin1000000100001111…
…0110111110111111
312120220100020111012
42001003312332333
513413302210021
6554505145435
7104441340563
oct20103667677
95526306435
102165272511
11a11270316
1250518b27b
1328679294c
141677db6a3
15ca15c35b
hex810f6fbf

2165272511 has 2 divisors, whose sum is σ = 2165272512. Its totient is φ = 2165272510.

The previous prime is 2165272493. The next prime is 2165272513. The reversal of 2165272511 is 1152725612.

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-2165272511 is a prime.

It is a super-3 number, since 3×21652725113 (a number of 29 digits) contains 333 as substring.

Together with 2165272513, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2165272513) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1082636255 + 1082636256.

It is an arithmetic number, because the mean of its divisors is an integer number (1082636256).

Almost surely, 22165272511 is an apocalyptic number.

2165272511 is a deficient number, since it is larger than the sum of its proper divisors (1).

2165272511 is an equidigital number, since it uses as much as digits as its factorization.

2165272511 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 8400, while the sum is 32.

The square root of 2165272511 is about 46532.4887686012. The cubic root of 2165272511 is about 1293.7117446241.

The spelling of 2165272511 in words is "two billion, one hundred sixty-five million, two hundred seventy-two thousand, five hundred eleven".