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13503581317 is a prime number
BaseRepresentation
bin11001001001110000…
…00100110010000101
31021212002101000011101
430210320010302011
5210123404100232
610111540340101
7655426355512
oct144470046205
937762330141
1013503581317
1157aa468566
12274a3a4631
13137280bc05
149215b4309
155407761e7
hex324e04c85

13503581317 has 2 divisors, whose sum is σ = 13503581318. Its totient is φ = 13503581316.

The previous prime is 13503581279. The next prime is 13503581323. The reversal of 13503581317 is 71318530531.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 12372335361 + 1131245956 = 111231^2 + 33634^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-13503581317 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13503581347) 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, 6751790658 + 6751790659.

It is an arithmetic number, because the mean of its divisors is an integer number (6751790659).

Almost surely, 213503581317 is an apocalyptic number.

It is an amenable number.

13503581317 is a deficient number, since it is larger than the sum of its proper divisors (1).

13503581317 is an equidigital number, since it uses as much as digits as its factorization.

13503581317 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 37800, while the sum is 37.

The spelling of 13503581317 in words is "thirteen billion, five hundred three million, five hundred eighty-one thousand, three hundred seventeen".