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13542000817 is a prime number
BaseRepresentation
bin11001001110010101…
…01000100010110001
31021221202122220210211
430213022220202301
5210213223011232
610115432024121
7656404051642
oct144712504261
937852586724
1013542000817
11581a119714
12275b232041
13137a771247
149267356c9
15543d14a47
hex3272a88b1

13542000817 has 2 divisors, whose sum is σ = 13542000818. Its totient is φ = 13542000816.

The previous prime is 13542000781. The next prime is 13542000841. The reversal of 13542000817 is 71800024531.

Together with previous prime (13542000781) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9982207921 + 3559792896 = 99911^2 + 59664^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-13542000817 is a prime.

It is a super-2 number, since 2×135420008172 (a number of 21 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (13542000877) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6771000408 + 6771000409.

It is an arithmetic number, because the mean of its divisors is an integer number (6771000409).

Almost surely, 213542000817 is an apocalyptic number.

It is an amenable number.

13542000817 is a deficient number, since it is larger than the sum of its proper divisors (1).

13542000817 is an equidigital number, since it uses as much as digits as its factorization.

13542000817 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6720, while the sum is 31.

The spelling of 13542000817 in words is "thirteen billion, five hundred forty-two million, eight hundred seventeen", and thus it is an aban number.