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6131564609 is a prime number
BaseRepresentation
bin1011011010111100…
…00100000001000001
3120211022121202101112
411231132010001001
5100024140031414
62452232413105
7304642303442
oct55536040101
916738552345
106131564609
112667121275
121231547195
13769411751
144224992c9
1525d474d3e
hex16d784041

6131564609 has 2 divisors, whose sum is σ = 6131564610. Its totient is φ = 6131564608.

The previous prime is 6131564591. The next prime is 6131564611. The reversal of 6131564609 is 9064651316.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 5878595584 + 252969025 = 76672^2 + 15905^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-6131564609 is a prime.

Together with 6131564611, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (6131564639) 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, 3065782304 + 3065782305.

It is an arithmetic number, because the mean of its divisors is an integer number (3065782305).

Almost surely, 26131564609 is an apocalyptic number.

It is an amenable number.

6131564609 is a deficient number, since it is larger than the sum of its proper divisors (1).

6131564609 is an equidigital number, since it uses as much as digits as its factorization.

6131564609 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 116640, while the sum is 41.

The square root of 6131564609 is about 78304.3077295241. The cubic root of 6131564609 is about 1830.3062790739.

The spelling of 6131564609 in words is "six billion, one hundred thirty-one million, five hundred sixty-four thousand, six hundred nine".