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2251073760641 is a prime number
BaseRepresentation
bin100000110000011110011…
…100111010110110000001
321222012102012102101202222
4200300132130322312001
5243340144340320031
64442043511020425
7321430464154226
oct40603634726601
97865365371688
102251073760641
117987474a8322
1230433406a715
13134376c17894
147ad49b2d94d
153d8501e7e7b
hex20c1e73ad81

2251073760641 has 2 divisors, whose sum is σ = 2251073760642. Its totient is φ = 2251073760640.

The previous prime is 2251073760601. The next prime is 2251073760697. The reversal of 2251073760641 is 1460673701522.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1318489545025 + 932584215616 = 1148255^2 + 965704^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-2251073760641 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 2251073760592 and 2251073760601.

It is not a weakly prime, because it can be changed into another prime (2251073760601) 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, 1125536880320 + 1125536880321.

It is an arithmetic number, because the mean of its divisors is an integer number (1125536880321).

Almost surely, 22251073760641 is an apocalyptic number.

It is an amenable number.

2251073760641 is a deficient number, since it is larger than the sum of its proper divisors (1).

2251073760641 is an equidigital number, since it uses as much as digits as its factorization.

2251073760641 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 423360, while the sum is 44.

The spelling of 2251073760641 in words is "two trillion, two hundred fifty-one billion, seventy-three million, seven hundred sixty thousand, six hundred forty-one".