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853383541001 is a prime number
BaseRepresentation
bin11000110101100011001…
…11110111000100001001
310000120201202200121021212
430122301213313010021
5102440212141303001
61452012230542505
7115440432261545
oct14326147670411
93016652617255
10853383541001
112a9a10841222
12119484507a35
13626209cb764
142d4381baa25
15172e9c3c7bb
hexc6b19f7109

853383541001 has 2 divisors, whose sum is σ = 853383541002. Its totient is φ = 853383541000.

The previous prime is 853383540953. The next prime is 853383541019. The reversal of 853383541001 is 100145383358.

853383541001 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., 650158392976 + 203225148025 = 806324^2 + 450805^2 .

It is a cyclic number.

It is not a de Polignac number, because 853383541001 - 210 = 853383539977 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 853383541001.

It is not a weakly prime, because it can be changed into another prime (853383541051) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 426691770500 + 426691770501.

It is an arithmetic number, because the mean of its divisors is an integer number (426691770501).

Almost surely, 2853383541001 is an apocalyptic number.

It is an amenable number.

853383541001 is a deficient number, since it is larger than the sum of its proper divisors (1).

853383541001 is an equidigital number, since it uses as much as digits as its factorization.

853383541001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 172800, while the sum is 41.

The spelling of 853383541001 in words is "eight hundred fifty-three billion, three hundred eighty-three million, five hundred forty-one thousand, one".