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85526507 = 1117601761
BaseRepresentation
bin1010001100100…
…00011111101011
312221221012022102
411012100133223
5133343322012
612253044015
72055651263
oct506203753
9187835272
1085526507
1144306370
122478660b
1314946a01
14b5047a3
1577962c2
hex51907eb

85526507 has 16 divisors (see below), whose sum is σ = 99084384. Its totient is φ = 72960000.

The previous prime is 85526503. The next prime is 85526513. The reversal of 85526507 is 70562558.

It is a cyclic number.

It is not a de Polignac number, because 85526507 - 22 = 85526503 is a prime.

It is a super-3 number, since 3×855265073 (a number of 25 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (85526501) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 112007 + ... + 112767.

It is an arithmetic number, because the mean of its divisors is an integer number (6192774).

Almost surely, 285526507 is an apocalyptic number.

85526507 is a deficient number, since it is larger than the sum of its proper divisors (13557877).

85526507 is a wasteful number, since it uses less digits than its factorization.

85526507 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1390.

The product of its (nonzero) digits is 84000, while the sum is 38.

The square root of 85526507 is about 9248.0542277822. The cubic root of 85526507 is about 440.5889272952.

The spelling of 85526507 in words is "eighty-five million, five hundred twenty-six thousand, five hundred seven".

Divisors: 1 11 17 187 601 761 6611 8371 10217 12937 112387 142307 457361 5030971 7775137 85526507