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13357527461 is a prime number
BaseRepresentation
bin11000111000010101…
…11011000110100101
31021110220112200221022
430130022323012211
5204324011334321
610045242100525
7652004052515
oct143412730645
937426480838
1013357527461
115734a810a3
1227094aa745
13134b492205
1490a035845
15532a25dab
hex31c2bb1a5

13357527461 has 2 divisors, whose sum is σ = 13357527462. Its totient is φ = 13357527460.

The previous prime is 13357527409. The next prime is 13357527481. The reversal of 13357527461 is 16472575331.

13357527461 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., 13344639361 + 12888100 = 115519^2 + 3590^2 .

It is a cyclic number.

It is not a de Polignac number, because 13357527461 - 214 = 13357511077 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13357527481) 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, 6678763730 + 6678763731.

It is an arithmetic number, because the mean of its divisors is an integer number (6678763731).

Almost surely, 213357527461 is an apocalyptic number.

It is an amenable number.

13357527461 is a deficient number, since it is larger than the sum of its proper divisors (1).

13357527461 is an equidigital number, since it uses as much as digits as its factorization.

13357527461 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 529200, while the sum is 44.

The spelling of 13357527461 in words is "thirteen billion, three hundred fifty-seven million, five hundred twenty-seven thousand, four hundred sixty-one".