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8137752809 is a prime number
BaseRepresentation
bin1111001010000110…
…00100000011101001
3210000010121200020012
413211003010003221
5113131231042214
63423300141305
7405442520564
oct74503040351
923003550205
108137752809
1134a660514a
1216b1397835
139c8c44664
14572ac54db
1532965b03e
hex1e50c40e9

8137752809 has 2 divisors, whose sum is σ = 8137752810. Its totient is φ = 8137752808.

The previous prime is 8137752803. The next prime is 8137752811. The reversal of 8137752809 is 9082577318.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 4361281600 + 3776471209 = 66040^2 + 61453^2 .

It is a cyclic number.

It is not a de Polignac number, because 8137752809 - 24 = 8137752793 is a prime.

It is a super-3 number, since 3×81377528093 (a number of 31 digits) contains 333 as substring.

It is a Sophie Germain prime.

Together with 8137752811, it forms a pair of twin primes.

It is a Chen prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (8137752803) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 4068876404 + 4068876405.

It is an arithmetic number, because the mean of its divisors is an integer number (4068876405).

Almost surely, 28137752809 is an apocalyptic number.

It is an amenable number.

8137752809 is a deficient number, since it is larger than the sum of its proper divisors (1).

8137752809 is an equidigital number, since it uses as much as digits as its factorization.

8137752809 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 846720, while the sum is 50.

The square root of 8137752809 is about 90209.4940070057. The cubic root of 8137752809 is about 2011.4141355826.

The spelling of 8137752809 in words is "eight billion, one hundred thirty-seven million, seven hundred fifty-two thousand, eight hundred nine".