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13357527409 is a prime number
BaseRepresentation
bin11000111000010101…
…11011000101110001
31021110220112200212101
430130022323011301
5204324011334114
610045242100401
7652004052412
oct143412730561
937426480771
1013357527409
115734a81056
1227094aa701
13134b492195
1490a035809
15532a25d74
hex31c2bb171

13357527409 has 2 divisors, whose sum is σ = 13357527410. Its totient is φ = 13357527408.

The previous prime is 13357527389. The next prime is 13357527461. The reversal of 13357527409 is 90472575331.

13357527409 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 8190793009 + 5166734400 = 90503^2 + 71880^2 .

It is a cyclic number.

It is not a de Polignac number, because 13357527409 - 215 = 13357494641 is a prime.

It is not a weakly prime, because it can be changed into another prime (13357527109) 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, 6678763704 + 6678763705.

It is an arithmetic number, because the mean of its divisors is an integer number (6678763705).

Almost surely, 213357527409 is an apocalyptic number.

It is an amenable number.

13357527409 is a deficient number, since it is larger than the sum of its proper divisors (1).

13357527409 is an equidigital number, since it uses as much as digits as its factorization.

13357527409 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 793800, while the sum is 46.

The spelling of 13357527409 in words is "thirteen billion, three hundred fifty-seven million, five hundred twenty-seven thousand, four hundred nine".