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13578565381 is a prime number
BaseRepresentation
bin11001010010101100…
…00111011100000101
31022001022110120221221
430221112013130011
5210302103043011
610123215440341
7660326621113
oct145126073405
938038416857
1013578565381
115838823167
12276b5260b1
131385204194
1492b532ab3
15547138971
hex329587705

13578565381 has 2 divisors, whose sum is σ = 13578565382. Its totient is φ = 13578565380.

The previous prime is 13578565379. The next prime is 13578565421. The reversal of 13578565381 is 18356587531.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9151792225 + 4426773156 = 95665^2 + 66534^2 .

It is a cyclic number.

It is not a de Polignac number, because 13578565381 - 21 = 13578565379 is a prime.

It is a super-2 number, since 2×135785653812 (a number of 21 digits) contains 22 as substring.

Together with 13578565379, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13578565181) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6789282690 + 6789282691.

It is an arithmetic number, because the mean of its divisors is an integer number (6789282691).

Almost surely, 213578565381 is an apocalyptic number.

It is an amenable number.

13578565381 is a deficient number, since it is larger than the sum of its proper divisors (1).

13578565381 is an equidigital number, since it uses as much as digits as its factorization.

13578565381 is an evil number, because the sum of its binary digits is even.

The product of its digits is 3024000, while the sum is 52.

The spelling of 13578565381 in words is "thirteen billion, five hundred seventy-eight million, five hundred sixty-five thousand, three hundred eighty-one".