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85131601 = 1136131229
BaseRepresentation
bin1010001001100…
…00000101010001
312221012010121021
411010300011101
5133243202401
612240355441
72052415042
oct504600521
9187163537
1085131601
11440666a5
1224615b81
1314839039
14b4408c9
1577192a1
hex5130151

85131601 has 8 divisors (see below), whose sum is σ = 86095080. Its totient is φ = 84172032.

The previous prime is 85131593. The next prime is 85131619. The reversal of 85131601 is 10613158.

It can be written as a sum of positive squares in 4 ways, for example, as 123201 + 85008400 = 351^2 + 9220^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 85131601 - 23 = 85131593 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (85131691) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 68655 + ... + 69883.

It is an arithmetic number, because the mean of its divisors is an integer number (10761885).

Almost surely, 285131601 is an apocalyptic number.

It is an amenable number.

85131601 is a deficient number, since it is larger than the sum of its proper divisors (963479).

85131601 is a wasteful number, since it uses less digits than its factorization.

85131601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1955.

The product of its (nonzero) digits is 720, while the sum is 25.

The square root of 85131601 is about 9226.6787632387. The cubic root of 85131601 is about 439.9097628311.

Adding to 85131601 its reverse (10613158), we get a palindrome (95744759).

The spelling of 85131601 in words is "eighty-five million, one hundred thirty-one thousand, six hundred one".

Divisors: 1 113 613 1229 69269 138877 753377 85131601