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36546536561 is a prime number
BaseRepresentation
bin100010000010010101…
…111110010001110001
310111022222202102021012
4202002111332101301
51044321403132221
624442251040305
72432441302163
oct420225762161
9114288672235
1036546536561
1114554626927
1270bb440095
1335a575aa82
141aa9a84933
15e3d71d65b
hex88257e471

36546536561 has 2 divisors, whose sum is σ = 36546536562. Its totient is φ = 36546536560.

The previous prime is 36546536519. The next prime is 36546536563. The reversal of 36546536561 is 16563564563.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 36421432336 + 125104225 = 190844^2 + 11185^2 .

It is a cyclic number.

It is not a de Polignac number, because 36546536561 - 230 = 35472794737 is a prime.

Together with 36546536563, 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 (36546536563) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 18273268280 + 18273268281.

It is an arithmetic number, because the mean of its divisors is an integer number (18273268281).

Almost surely, 236546536561 is an apocalyptic number.

It is an amenable number.

36546536561 is a deficient number, since it is larger than the sum of its proper divisors (1).

36546536561 is an equidigital number, since it uses as much as digits as its factorization.

36546536561 is an evil number, because the sum of its binary digits is even.

The product of its digits is 5832000, while the sum is 50.

The spelling of 36546536561 in words is "thirty-six billion, five hundred forty-six million, five hundred thirty-six thousand, five hundred sixty-one".