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13500413617 is a prime number
BaseRepresentation
bin11001001001010111…
…11111011010110001
31021211212102001220011
430210223333122301
5210122101213432
610111344414521
7655360423315
oct144453773261
937755361804
1013500413617
1157a86a4629
122749317441
131371c70132
14920dcbb45
1554034c847
hex324aff6b1

13500413617 has 2 divisors, whose sum is σ = 13500413618. Its totient is φ = 13500413616.

The previous prime is 13500413599. The next prime is 13500413651. The reversal of 13500413617 is 71631400531.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 8625022641 + 4875390976 = 92871^2 + 69824^2 .

It is a cyclic number.

It is not a de Polignac number, because 13500413617 - 231 = 11352929969 is a prime.

It is a super-2 number, since 2×135004136172 (a number of 21 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (13500413657) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6750206808 + 6750206809.

It is an arithmetic number, because the mean of its divisors is an integer number (6750206809).

Almost surely, 213500413617 is an apocalyptic number.

It is an amenable number.

13500413617 is a deficient number, since it is larger than the sum of its proper divisors (1).

13500413617 is an equidigital number, since it uses as much as digits as its factorization.

13500413617 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 7560, while the sum is 31.

The spelling of 13500413617 in words is "thirteen billion, five hundred million, four hundred thirteen thousand, six hundred seventeen".