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13137971593 is a prime number
BaseRepresentation
bin11000011110001010…
…11000100110001001
31020220121102002220111
430033011120212021
5203401310042333
610011400154321
7643366626115
oct141705304611
936817362814
1013137971593
11563205156a
122667a689a1
131314b4b9b6
148c8c02745
1551d6074cd
hex30f158989

13137971593 has 2 divisors, whose sum is σ = 13137971594. Its totient is φ = 13137971592.

The previous prime is 13137971579. The next prime is 13137971597. The reversal of 13137971593 is 39517973131.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 12771938169 + 366033424 = 113013^2 + 19132^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-13137971593 is a prime.

It is not a weakly prime, because it can be changed into another prime (13137971597) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6568985796 + 6568985797.

It is an arithmetic number, because the mean of its divisors is an integer number (6568985797).

Almost surely, 213137971593 is an apocalyptic number.

It is an amenable number.

13137971593 is a deficient number, since it is larger than the sum of its proper divisors (1).

13137971593 is an equidigital number, since it uses as much as digits as its factorization.

13137971593 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 535815, while the sum is 49.

The spelling of 13137971593 in words is "thirteen billion, one hundred thirty-seven million, nine hundred seventy-one thousand, five hundred ninety-three".