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13589536013 is a prime number
BaseRepresentation
bin11001010011111111…
…11101110100001101
31022002002002221211122
430221333331310031
5210312410123023
610124250530325
7660522102344
oct145177756415
938062087748
1013589536013
115843a365a9
1227731369a5
131387575791
1492cb8ab5b
155480a42c8
hex329ffdd0d

13589536013 has 2 divisors, whose sum is σ = 13589536014. Its totient is φ = 13589536012.

The previous prime is 13589535983. The next prime is 13589536033. The reversal of 13589536013 is 31063598531.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 11910011689 + 1679524324 = 109133^2 + 40982^2 .

It is a cyclic number.

It is not a de Polignac number, because 13589536013 - 210 = 13589534989 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13589536033) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6794768006 + 6794768007.

It is an arithmetic number, because the mean of its divisors is an integer number (6794768007).

Almost surely, 213589536013 is an apocalyptic number.

It is an amenable number.

13589536013 is a deficient number, since it is larger than the sum of its proper divisors (1).

13589536013 is an equidigital number, since it uses as much as digits as its factorization.

13589536013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 291600, while the sum is 44.

The spelling of 13589536013 in words is "thirteen billion, five hundred eighty-nine million, five hundred thirty-six thousand, thirteen".