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1005140561 is a prime number
BaseRepresentation
bin111011111010010…
…011101001010001
32121001100102122012
4323322103221101
54024303444221
6243423352305
733623360645
oct7372235121
92531312565
101005140561
11476414a87
12240752695
13130319c39
14976c8c25
155d39965b
hex3be93a51

1005140561 has 2 divisors, whose sum is σ = 1005140562. Its totient is φ = 1005140560.

The previous prime is 1005140473. The next prime is 1005140567. The reversal of 1005140561 is 1650415001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 571210000 + 433930561 = 23900^2 + 20831^2 .

It is a cyclic number.

It is not a de Polignac number, because 1005140561 - 218 = 1004878417 is a prime.

It is not a weakly prime, because it can be changed into another prime (1005140567) 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, 502570280 + 502570281.

It is an arithmetic number, because the mean of its divisors is an integer number (502570281).

Almost surely, 21005140561 is an apocalyptic number.

It is an amenable number.

1005140561 is a deficient number, since it is larger than the sum of its proper divisors (1).

1005140561 is an equidigital number, since it uses as much as digits as its factorization.

1005140561 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 600, while the sum is 23.

The square root of 1005140561 is about 31703.9518199230. The cubic root of 1005140561 is about 1001.7105925380.

Adding to 1005140561 its reverse (1650415001), we get a palindrome (2655555562).

The spelling of 1005140561 in words is "one billion, five million, one hundred forty thousand, five hundred sixty-one".