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509743137493 is a prime number
BaseRepresentation
bin1110110101011110000…
…11110000001011010101
31210201201212122101020201
413122233003300023111
531322423220344433
61030101152300501
751553624115122
oct7325703601325
91721655571221
10509743137493
111871a9791947
128295bb41731
13390b78620a5
141a959201749
15d3d61a3a7d
hex76af0f02d5

509743137493 has 2 divisors, whose sum is σ = 509743137494. Its totient is φ = 509743137492.

The previous prime is 509743137479. The next prime is 509743137509. The reversal of 509743137493 is 394731347905.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 409141888164 + 100601249329 = 639642^2 + 317177^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-509743137493 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (509743137413) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 254871568746 + 254871568747.

It is an arithmetic number, because the mean of its divisors is an integer number (254871568747).

Almost surely, 2509743137493 is an apocalyptic number.

It is an amenable number.

509743137493 is a deficient number, since it is larger than the sum of its proper divisors (1).

509743137493 is an equidigital number, since it uses as much as digits as its factorization.

509743137493 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8573040, while the sum is 55.

The spelling of 509743137493 in words is "five hundred nine billion, seven hundred forty-three million, one hundred thirty-seven thousand, four hundred ninety-three".