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2005140523 is a prime number
BaseRepresentation
bin111011110000100…
…0000010000101011
312011202000200200211
41313201000100223
513101303444043
6530545041551
7100455261511
oct16741002053
95152020624
102005140523
11939938831
1247b6262b7
1325c5570a9
141504364b1
15bb07aa9d
hex7784042b

2005140523 has 2 divisors, whose sum is σ = 2005140524. Its totient is φ = 2005140522.

The previous prime is 2005140521. The next prime is 2005140563. The reversal of 2005140523 is 3250415002.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 2005140523 - 21 = 2005140521 is a prime.

Together with 2005140521, it forms a pair of twin primes.

It is a junction number, because it is equal to n+sod(n) for n = 2005140494 and 2005140503.

It is not a weakly prime, because it can be changed into another prime (2005140521) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1002570261 + 1002570262.

It is an arithmetic number, because the mean of its divisors is an integer number (1002570262).

Almost surely, 22005140523 is an apocalyptic number.

2005140523 is a deficient number, since it is larger than the sum of its proper divisors (1).

2005140523 is an equidigital number, since it uses as much as digits as its factorization.

2005140523 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1200, while the sum is 22.

The square root of 2005140523 is about 44778.7954616915. The cubic root of 2005140523 is about 1260.9995685861. Note that the first 3 decimals are identical.

Adding to 2005140523 its reverse (3250415002), we get a palindrome (5255555525).

The spelling of 2005140523 in words is "two billion, five million, one hundred forty thousand, five hundred twenty-three".