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803261681 is a prime number
BaseRepresentation
bin101111111000001…
…100110011110001
32001222110220212122
4233320030303301
53121113333211
6211412404025
725622416535
oct5770146361
92058426778
10803261681
11382469432
121a5016615
13ca555691
1478977bc5
154a7bd6db
hex2fe0ccf1

803261681 has 2 divisors, whose sum is σ = 803261682. Its totient is φ = 803261680.

The previous prime is 803261639. The next prime is 803261699. The reversal of 803261681 is 186162308.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 449821681 + 353440000 = 21209^2 + 18800^2 .

It is a cyclic number.

It is not a de Polignac number, because 803261681 - 226 = 736152817 is a prime.

It is a super-2 number, since 2×8032616812 = 1290458656325891522, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (803261281) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 401630840 + 401630841.

It is an arithmetic number, because the mean of its divisors is an integer number (401630841).

Almost surely, 2803261681 is an apocalyptic number.

It is an amenable number.

803261681 is a deficient number, since it is larger than the sum of its proper divisors (1).

803261681 is an equidigital number, since it uses as much as digits as its factorization.

803261681 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 13824, while the sum is 35.

The square root of 803261681 is about 28341.8715154804. The cubic root of 803261681 is about 929.5776711937.

The spelling of 803261681 in words is "eight hundred three million, two hundred sixty-one thousand, six hundred eighty-one".