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531605317 = 17531095413
BaseRepresentation
bin11111101011111…
…010011101000101
31101001022100101211
4133223322131011
52042042332232
6124430051421
716113366505
oct3753723505
91331270354
10531605317
11253093a41
1212a049b71
138619c979
1450861a05
1531a0ca47
hex1fafa745

531605317 has 16 divisors (see below), whose sum is σ = 578864880. Its totient is φ = 486300672.

The previous prime is 531605311. The next prime is 531605323. The reversal of 531605317 is 713506135.

It is an interprime number because it is at equal distance from previous prime (531605311) and next prime (531605323).

It can be written as a sum of positive squares in 8 ways, for example, as 23824161 + 507781156 = 4881^2 + 22534^2 .

It is a cyclic number.

It is not a de Polignac number, because 531605317 - 23 = 531605309 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (531605311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 95503 + ... + 100915.

It is an arithmetic number, because the mean of its divisors is an integer number (36179055).

Almost surely, 2531605317 is an apocalyptic number.

It is an amenable number.

531605317 is a deficient number, since it is larger than the sum of its proper divisors (47259563).

531605317 is a wasteful number, since it uses less digits than its factorization.

531605317 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5592.

The product of its (nonzero) digits is 9450, while the sum is 31.

The square root of 531605317 is about 23056.5677627872. The cubic root of 531605317 is about 810.0834730822.

The spelling of 531605317 in words is "five hundred thirty-one million, six hundred five thousand, three hundred seventeen".

Divisors: 1 17 53 109 901 1853 5413 5777 92021 98209 286889 590017 4877113 10030289 31270901 531605317