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85526401 is a prime number
BaseRepresentation
bin1010001100100…
…00011110000001
312221221012011111
411012100132001
5133343321101
612253043321
72055651052
oct506203601
9187835144
1085526401
1144306284
1224786541
131494694c
14b504729
157796251
hex5190781

85526401 has 2 divisors, whose sum is σ = 85526402. Its totient is φ = 85526400.

The previous prime is 85526393. The next prime is 85526431. The reversal of 85526401 is 10462558.

It is the 3776-th star number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 48316401 + 37210000 = 6951^2 + 6100^2 .

It is a cyclic number.

It is not a de Polignac number, because 85526401 - 23 = 85526393 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (85526431) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 42763200 + 42763201.

It is an arithmetic number, because the mean of its divisors is an integer number (42763201).

Almost surely, 285526401 is an apocalyptic number.

It is an amenable number.

85526401 is a deficient number, since it is larger than the sum of its proper divisors (1).

85526401 is an equidigital number, since it uses as much as digits as its factorization.

85526401 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 9600, while the sum is 31.

The square root of 85526401 is about 9248.0484968452. The cubic root of 85526401 is about 440.5887452758.

Adding to 85526401 its reverse (10462558), we get a palindrome (95988959).

The spelling of 85526401 in words is "eighty-five million, five hundred twenty-six thousand, four hundred one".