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13058766819097 is a prime number
BaseRepresentation
bin1011111000000111101100…
…1010000100111100011001
31201020101221220122020211221
42332001323022010330121
53202423323301202342
643435040433252041
72515315262333446
oct276017312047431
951211856566757
1013058766819097
11418521247878a
12156aa62704021
13739589aa435c
14332094bcc9cd
15179a4d9e7a67
hexbe07b284f19

13058766819097 has 2 divisors, whose sum is σ = 13058766819098. Its totient is φ = 13058766819096.

The previous prime is 13058766818989. The next prime is 13058766819127. The reversal of 13058766819097 is 79091866785031.

It is a happy number.

13058766819097 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8135067657616 + 4923699161481 = 2852204^2 + 2218941^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-13058766819097 is a prime.

It is not a weakly prime, because it can be changed into another prime (13058766849097) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6529383409548 + 6529383409549.

It is an arithmetic number, because the mean of its divisors is an integer number (6529383409549).

Almost surely, 213058766819097 is an apocalyptic number.

It is an amenable number.

13058766819097 is a deficient number, since it is larger than the sum of its proper divisors (1).

13058766819097 is an equidigital number, since it uses as much as digits as its factorization.

13058766819097 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 137168640, while the sum is 70.

The spelling of 13058766819097 in words is "thirteen trillion, fifty-eight billion, seven hundred sixty-six million, eight hundred nineteen thousand, ninety-seven".