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1006544261 is a prime number
BaseRepresentation
bin111011111111101…
…010010110000101
32121010222202011002
4323333222112011
54030133404021
6243513423045
733641325242
oct7377522605
92533882132
101006544261
11477193668
1224110aa85
131306bbb28
14979725c9
155d57550b
hex3bfea585

1006544261 has 2 divisors, whose sum is σ = 1006544262. Its totient is φ = 1006544260.

The previous prime is 1006544257. The next prime is 1006544303. The reversal of 1006544261 is 1624456001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 522808225 + 483736036 = 22865^2 + 21994^2 .

It is a cyclic number.

It is not a de Polignac number, because 1006544261 - 22 = 1006544257 is a prime.

It is a super-2 number, since 2×10065442612 = 2026262698704072242, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1006544251) 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, 503272130 + 503272131.

It is an arithmetic number, because the mean of its divisors is an integer number (503272131).

Almost surely, 21006544261 is an apocalyptic number.

It is an amenable number.

1006544261 is a deficient number, since it is larger than the sum of its proper divisors (1).

1006544261 is an equidigital number, since it uses as much as digits as its factorization.

1006544261 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5760, while the sum is 29.

The square root of 1006544261 is about 31726.0817152071. The cubic root of 1006544261 is about 1002.1766789644.

The spelling of 1006544261 in words is "one billion, six million, five hundred forty-four thousand, two hundred sixty-one".