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1006444561 is a prime number
BaseRepresentation
bin111011111111010…
…010000000010001
32121010210200101111
4323333102000101
54030122211221
6243511333321
733640431463
oct7377220021
92533720344
101006444561
11477125771
12241081241
13130685635
1497948133
155d555be1
hex3bfd2011

1006444561 has 2 divisors, whose sum is σ = 1006444562. Its totient is φ = 1006444560.

The previous prime is 1006444553. The next prime is 1006444583. The reversal of 1006444561 is 1654446001.

1006444561 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 809743936 + 196700625 = 28456^2 + 14025^2 .

It is a cyclic number.

It is not a de Polignac number, because 1006444561 - 23 = 1006444553 is a prime.

It is not a weakly prime, because it can be changed into another prime (1006444501) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 503222280 + 503222281.

It is an arithmetic number, because the mean of its divisors is an integer number (503222281).

Almost surely, 21006444561 is an apocalyptic number.

It is an amenable number.

1006444561 is a deficient number, since it is larger than the sum of its proper divisors (1).

1006444561 is an equidigital number, since it uses as much as digits as its factorization.

1006444561 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 11520, while the sum is 31.

The square root of 1006444561 is about 31724.5104138740. The cubic root of 1006444561 is about 1002.1435887441.

The spelling of 1006444561 in words is "one billion, six million, four hundred forty-four thousand, five hundred sixty-one".