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131583523 is a prime number
BaseRepresentation
bin1111101011111…
…00111000100011
3100011121010122211
413311330320203
5232141133043
621020142551
73155304301
oct765747043
9304533584
10131583523
1168303715
1238097a57
1321351496
1413693271
15b842a9d
hex7d7ce23

131583523 has 2 divisors, whose sum is σ = 131583524. Its totient is φ = 131583522.

The previous prime is 131583521. The next prime is 131583593. The reversal of 131583523 is 325385131.

It is a weak prime.

It is an emirp because it is prime and its reverse (325385131) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 131583523 - 21 = 131583521 is a prime.

Together with 131583521, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (131583521) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 65791761 + 65791762.

It is an arithmetic number, because the mean of its divisors is an integer number (65791762).

Almost surely, 2131583523 is an apocalyptic number.

131583523 is the 6132-nd centered heptagonal number.

131583523 is a deficient number, since it is larger than the sum of its proper divisors (1).

131583523 is an equidigital number, since it uses as much as digits as its factorization.

131583523 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 10800, while the sum is 31.

The square root of 131583523 is about 11470.9861389507. The cubic root of 131583523 is about 508.6282797744.

The spelling of 131583523 in words is "one hundred thirty-one million, five hundred eighty-three thousand, five hundred twenty-three".