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36505764569 is a prime number
BaseRepresentation
bin100001111111111010…
…011100001011011001
310111020011000222121102
4201333322130023121
51044230433431234
624434233121145
72431434610331
oct417772341331
9114204028542
1036505764569
111453360926a
1270a98591b5
13359a183a31
141aa44b00c1
15e39d67c7e
hex87fe9c2d9

36505764569 has 2 divisors, whose sum is σ = 36505764570. Its totient is φ = 36505764568.

The previous prime is 36505764523. The next prime is 36505764571. The reversal of 36505764569 is 96546750563.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 34093776025 + 2411988544 = 184645^2 + 49112^2 .

It is an emirp because it is prime and its reverse (96546750563) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 36505764569 - 28 = 36505764313 is a prime.

It is a super-2 number, since 2×365057645692 (a number of 22 digits) contains 22 as substring.

Together with 36505764571, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (36505764469) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 18252882284 + 18252882285.

It is an arithmetic number, because the mean of its divisors is an integer number (18252882285).

Almost surely, 236505764569 is an apocalyptic number.

It is an amenable number.

36505764569 is a deficient number, since it is larger than the sum of its proper divisors (1).

36505764569 is an equidigital number, since it uses as much as digits as its factorization.

36505764569 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 20412000, while the sum is 56.

The spelling of 36505764569 in words is "thirty-six billion, five hundred five million, seven hundred sixty-four thousand, five hundred sixty-nine".