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13378553 is a prime number
BaseRepresentation
bin110011000010…
…001111111001
3221011200220222
4303002033321
511411103203
61154425425
7221500346
oct63021771
927150828
1013378553
117608561
124592275
132a05606
141ac37cd
151294038
hexcc23f9

13378553 has 2 divisors, whose sum is σ = 13378554. Its totient is φ = 13378552.

The previous prime is 13378549. The next prime is 13378579. The reversal of 13378553 is 35587331.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 12759184 + 619369 = 3572^2 + 787^2 .

It is a cyclic number.

It is not a de Polignac number, because 13378553 - 22 = 13378549 is a prime.

It is a super-3 number, since 3×133785533 (a number of 22 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (13378513) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6689276 + 6689277.

It is an arithmetic number, because the mean of its divisors is an integer number (6689277).

Almost surely, 213378553 is an apocalyptic number.

It is an amenable number.

13378553 is a deficient number, since it is larger than the sum of its proper divisors (1).

13378553 is an equidigital number, since it uses as much as digits as its factorization.

13378553 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 37800, while the sum is 35.

The square root of 13378553 is about 3657.6704334863. The cubic root of 13378553 is about 237.3939870350.

It can be divided in two parts, 13378 and 553, that added together give a palindrome (13931).

The spelling of 13378553 in words is "thirteen million, three hundred seventy-eight thousand, five hundred fifty-three".