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85351681 is a prime number
BaseRepresentation
bin1010001011001…
…01110100000001
312221121022111101
411011211310001
5133322223211
612245214401
72054322502
oct505456401
9187538441
1085351681
11441a6a88
1224701401
13148b526c
14b49aba9
15775e5c1
hex5165d01

85351681 has 2 divisors, whose sum is σ = 85351682. Its totient is φ = 85351680.

The previous prime is 85351631. The next prime is 85351691. The reversal of 85351681 is 18615358.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 78925456 + 6426225 = 8884^2 + 2535^2 .

It is a cyclic number.

It is not a de Polignac number, because 85351681 - 211 = 85349633 is a prime.

It is a super-2 number, since 2×853516812 = 14569818899051522, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 85351681.

It is not a weakly prime, because it can be changed into another prime (85351601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 42675840 + 42675841.

It is an arithmetic number, because the mean of its divisors is an integer number (42675841).

Almost surely, 285351681 is an apocalyptic number.

It is an amenable number.

85351681 is a deficient number, since it is larger than the sum of its proper divisors (1).

85351681 is an equidigital number, since it uses as much as digits as its factorization.

85351681 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 28800, while the sum is 37.

The square root of 85351681 is about 9238.5973502475. The cubic root of 85351681 is about 440.2885177271.

The spelling of 85351681 in words is "eighty-five million, three hundred fifty-one thousand, six hundred eighty-one".