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13077155521 is a prime number
BaseRepresentation
bin11000010110111010…
…11000111011000001
31020202100222022221101
430023131120323001
5203240222434041
610001344454401
7642030662563
oct141335307301
936670868841
1013077155521
115600793551
12264b61a401
131305377461
148c0ad1333
155180e2b31
hex30b758ec1

13077155521 has 2 divisors, whose sum is σ = 13077155522. Its totient is φ = 13077155520.

The previous prime is 13077155491. The next prime is 13077155527. The reversal of 13077155521 is 12555177031.

13077155521 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., 12890423296 + 186732225 = 113536^2 + 13665^2 .

It is a cyclic number.

It is not a de Polignac number, because 13077155521 - 25 = 13077155489 is a prime.

It is not a weakly prime, because it can be changed into another prime (13077155527) 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, 6538577760 + 6538577761.

It is an arithmetic number, because the mean of its divisors is an integer number (6538577761).

Almost surely, 213077155521 is an apocalyptic number.

It is an amenable number.

13077155521 is a deficient number, since it is larger than the sum of its proper divisors (1).

13077155521 is an equidigital number, since it uses as much as digits as its factorization.

13077155521 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 36750, while the sum is 37.

The spelling of 13077155521 in words is "thirteen billion, seventy-seven million, one hundred fifty-five thousand, five hundred twenty-one".