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2005906537 is a prime number
BaseRepresentation
bin111011110001111…
…1011010001101001
312011210110121110201
41313203323101221
513102003002122
6531013312201
7100464632005
oct16743732151
95153417421
102005906537
1193a3112a8
1247b935661
1325c76495b
14150595705
15bb17ca27
hex778fb469

2005906537 has 2 divisors, whose sum is σ = 2005906538. Its totient is φ = 2005906536.

The previous prime is 2005906531. The next prime is 2005906579. The reversal of 2005906537 is 7356095002.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1195707241 + 810199296 = 34579^2 + 28464^2 .

It is a cyclic number.

It is not a de Polignac number, because 2005906537 - 211 = 2005904489 is a prime.

It is a super-2 number, since 2×20059065372 = 8047322070358664738, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2005906496 and 2005906505.

It is not a weakly prime, because it can be changed into another prime (2005906531) 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 as a sum of consecutive naturals, namely, 1002953268 + 1002953269.

It is an arithmetic number, because the mean of its divisors is an integer number (1002953269).

Almost surely, 22005906537 is an apocalyptic number.

It is an amenable number.

2005906537 is a deficient number, since it is larger than the sum of its proper divisors (1).

2005906537 is an equidigital number, since it uses as much as digits as its factorization.

2005906537 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 56700, while the sum is 37.

The square root of 2005906537 is about 44787.3479567612. The cubic root of 2005906537 is about 1261.1601259691.

The spelling of 2005906537 in words is "two billion, five million, nine hundred six thousand, five hundred thirty-seven".