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820714445153 is a prime number
BaseRepresentation
bin10111111000101100110…
…01001001100101100001
32220110102000000120201222
423330112121021211201
5101421310344221103
61425010410504425
7113203032452261
oct13742631114541
92813360016658
10820714445153
112970769a9a59
12113087735115
135c515680605
142ba194a57a1
1516536b35638
hexbf16649961

820714445153 has 2 divisors, whose sum is σ = 820714445154. Its totient is φ = 820714445152.

The previous prime is 820714445149. The next prime is 820714445179. The reversal of 820714445153 is 351544417028.

It is a happy number.

820714445153 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 698013462784 + 122700982369 = 835472^2 + 350287^2 .

It is a cyclic number.

It is not a de Polignac number, because 820714445153 - 22 = 820714445149 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (820714445123) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 410357222576 + 410357222577.

It is an arithmetic number, because the mean of its divisors is an integer number (410357222577).

Almost surely, 2820714445153 is an apocalyptic number.

It is an amenable number.

820714445153 is a deficient number, since it is larger than the sum of its proper divisors (1).

820714445153 is an equidigital number, since it uses as much as digits as its factorization.

820714445153 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 537600, while the sum is 44.

The spelling of 820714445153 in words is "eight hundred twenty billion, seven hundred fourteen million, four hundred forty-five thousand, one hundred fifty-three".