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12721527713 is a prime number
BaseRepresentation
bin10111101100100001…
…10001101110100001
31012211120210120022002
423312100301232201
5202023202341323
65502202253345
7630152126036
oct136620615641
935746716262
1012721527713
115438a75074
1225704b7255
1312797a07bb
1488979b38d
154e6c96828
hex2f6431ba1

12721527713 has 2 divisors, whose sum is σ = 12721527714. Its totient is φ = 12721527712.

The previous prime is 12721527671. The next prime is 12721527743. The reversal of 12721527713 is 31772512721.

12721527713 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., 9918566464 + 2802961249 = 99592^2 + 52943^2 .

It is an emirp because it is prime and its reverse (31772512721) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 12721527713 - 210 = 12721526689 is a prime.

It is not a weakly prime, because it can be changed into another prime (12721527743) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6360763856 + 6360763857.

It is an arithmetic number, because the mean of its divisors is an integer number (6360763857).

Almost surely, 212721527713 is an apocalyptic number.

It is an amenable number.

12721527713 is a deficient number, since it is larger than the sum of its proper divisors (1).

12721527713 is an equidigital number, since it uses as much as digits as its factorization.

12721527713 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 41160, while the sum is 38.

The spelling of 12721527713 in words is "twelve billion, seven hundred twenty-one million, five hundred twenty-seven thousand, seven hundred thirteen".