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2611581641 is a prime number
BaseRepresentation
bin1001101110101001…
…1001001011001001
320202000011002111222
42123222121023021
520322031103031
61111051131425
7121501035434
oct23352311311
96660132458
102611581641
111120195a39
1260a743b75
133280996a6
141aabb881b
1510441be7b
hex9ba992c9

2611581641 has 2 divisors, whose sum is σ = 2611581642. Its totient is φ = 2611581640.

The previous prime is 2611581629. The next prime is 2611581653. The reversal of 2611581641 is 1461851162.

2611581641 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a balanced prime because it is at equal distance from previous prime (2611581629) and next prime (2611581653).

It can be written as a sum of positive squares in only one way, i.e., 1693734025 + 917847616 = 41155^2 + 30296^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-2611581641 is a prime.

It is not a weakly prime, because it can be changed into another prime (2611581671) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1305790820 + 1305790821.

It is an arithmetic number, because the mean of its divisors is an integer number (1305790821).

Almost surely, 22611581641 is an apocalyptic number.

It is an amenable number.

2611581641 is a deficient number, since it is larger than the sum of its proper divisors (1).

2611581641 is an equidigital number, since it uses as much as digits as its factorization.

2611581641 is an evil number, because the sum of its binary digits is even.

The product of its digits is 11520, while the sum is 35.

The square root of 2611581641 is about 51103.6362796230. The cubic root of 2611581641 is about 1377.1075806179.

The spelling of 2611581641 in words is "two billion, six hundred eleven million, five hundred eighty-one thousand, six hundred forty-one".