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813655683601 is a prime number
BaseRepresentation
bin10111101011100011010…
…10000111001000010001
32212210012001201100020221
423311301222013020101
5101312331323333401
61421442133033041
7112533101124445
oct13656152071021
92783161640227
10813655683601
1129408446aa22
12111837785781
135b95c142327
142b549c10825
15162720b07a1
hexbd71a87211

813655683601 has 2 divisors, whose sum is σ = 813655683602. Its totient is φ = 813655683600.

The previous prime is 813655683583. The next prime is 813655683613. The reversal of 813655683601 is 106386556318.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 740203843201 + 73451840400 = 860351^2 + 271020^2 .

It is a cyclic number.

It is not a de Polignac number, because 813655683601 - 213 = 813655675409 is a prime.

It is not a weakly prime, because it can be changed into another prime (813655683691) 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, 406827841800 + 406827841801.

It is an arithmetic number, because the mean of its divisors is an integer number (406827841801).

Almost surely, 2813655683601 is an apocalyptic number.

It is an amenable number.

813655683601 is a deficient number, since it is larger than the sum of its proper divisors (1).

813655683601 is an equidigital number, since it uses as much as digits as its factorization.

813655683601 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3110400, while the sum is 52.

The spelling of 813655683601 in words is "eight hundred thirteen billion, six hundred fifty-five million, six hundred eighty-three thousand, six hundred one".