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85526381 is a prime number
BaseRepresentation
bin1010001100100…
…00011101101101
312221221012010202
411012100131231
5133343321011
612253043245
72055651023
oct506203555
9187835122
1085526381
1144306266
1224786525
1314946935
14b504713
15779623b
hex519076d

85526381 has 2 divisors, whose sum is σ = 85526382. Its totient is φ = 85526380.

The previous prime is 85526377. The next prime is 85526383. The reversal of 85526381 is 18362558.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 63520900 + 22005481 = 7970^2 + 4691^2 .

It is a cyclic number.

It is not a de Polignac number, because 85526381 - 22 = 85526377 is a prime.

It is a super-2 number, since 2×855263812 = 14629523693914322, which contains 22 as substring.

Together with 85526383, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (85526383) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 42763190 + 42763191.

It is an arithmetic number, because the mean of its divisors is an integer number (42763191).

Almost surely, 285526381 is an apocalyptic number.

It is an amenable number.

85526381 is a deficient number, since it is larger than the sum of its proper divisors (1).

85526381 is an equidigital number, since it uses as much as digits as its factorization.

85526381 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 57600, while the sum is 38.

The square root of 85526381 is about 9248.0474155359. The cubic root of 85526381 is about 440.5887109325.

The spelling of 85526381 in words is "eighty-five million, five hundred twenty-six thousand, three hundred eighty-one".