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853211141 is a prime number
BaseRepresentation
bin110010110110101…
…111100000000101
32012110110121122122
4302312233200011
53221410224031
6220355135325
730100114016
oct6266574005
92173417578
10853211141
113a8685182
121b98a4545
131079c3a83
148145b00d
154ed8847b
hex32daf805

853211141 has 2 divisors, whose sum is σ = 853211142. Its totient is φ = 853211140.

The previous prime is 853211111. The next prime is 853211153. The reversal of 853211141 is 141112358.

853211141 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., 810256225 + 42954916 = 28465^2 + 6554^2 .

It is a cyclic number.

It is not a de Polignac number, because 853211141 - 26 = 853211077 is a prime.

It is a super-3 number, since 3×8532111413 (a number of 28 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Sophie Germain prime.

It is a Chen prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 853211141.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (853211111) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 426605570 + 426605571.

It is an arithmetic number, because the mean of its divisors is an integer number (426605571).

Almost surely, 2853211141 is an apocalyptic number.

It is an amenable number.

853211141 is a deficient number, since it is larger than the sum of its proper divisors (1).

853211141 is an equidigital number, since it uses as much as digits as its factorization.

853211141 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 960, while the sum is 26.

The square root of 853211141 is about 29209.7781744401. The cubic root of 853211141 is about 948.4596055891.

Adding to 853211141 its reverse (141112358), we get a palindrome (994323499).

The spelling of 853211141 in words is "eight hundred fifty-three million, two hundred eleven thousand, one hundred forty-one".