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2006512561 = 10131696269
BaseRepresentation
bin111011110011000…
…1111001110110001
312011211121101210001
41313212033032301
513102131400221
6531034310001
7100503034564
oct16746171661
95154541701
102006512561
1193a695649
1247bb88301
1325c917751
141506b24db
15bb24c391
hex7798f3b1

2006512561 has 8 divisors (see below), whose sum is σ = 2027341800. Its totient is φ = 1985702400.

The previous prime is 2006512517. The next prime is 2006512577. The reversal of 2006512561 is 1652156002.

It can be written as a sum of positive squares in 4 ways, for example, as 972504225 + 1034008336 = 31185^2 + 32156^2 .

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 2006512561 - 29 = 2006512049 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2006512661) 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 7 ways as a sum of consecutive naturals, for example, 316935 + ... + 323203.

It is an arithmetic number, because the mean of its divisors is an integer number (253417725).

Almost surely, 22006512561 is an apocalyptic number.

It is an amenable number.

2006512561 is a deficient number, since it is larger than the sum of its proper divisors (20829239).

2006512561 is a wasteful number, since it uses less digits than its factorization.

2006512561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9539.

The product of its (nonzero) digits is 3600, while the sum is 28.

The square root of 2006512561 is about 44794.1130172258. The cubic root of 2006512561 is about 1261.2871203120.

Adding to 2006512561 its reverse (1652156002), we get a palindrome (3658668563).

The spelling of 2006512561 in words is "two billion, six million, five hundred twelve thousand, five hundred sixty-one".

Divisors: 1 101 3169 6269 320069 633169 19866461 2006512561