513 UK tablespoons in US customary cups
Result
The conversion result is: 513 UK tablespoons is equivalent to 32.5248630863352 US customary cups.[1]
Conversion formula
How to convert 513 UK tablespoons to US customary cups?
We know (by definition) that: 1 brtablespoon ≈ 0.0634012925659556 uscup.
We can set up a proportion to solve for the number of US customary cups.
1 brtablespoon / 513 brtablespoon ≈ 0.0634012925659556 uscup / x uscup
Now, we cross multiply to solve for our unknown x:
x uscup ≈ (513 brtablespoon / 1 brtablespoon) * 0.0634012925659556 uscup → x uscup ≈ 32.52486308633522 uscup
Conclusion:
513 brtablespoon ≈ 32.52486308633522 uscup

Conversion in the opposite direction
The inverse of the conversion factor is that 1 US customary cup is equal to 0.0307457097465887 times 513 UK tablespoons.
It can also be expressed as: 513 UK tablespoons is equal to 1 / 0.0307457097465887 US customary cups.
Approximation
An approximate numerical result would be: five hundred and thirteen UK tablespoons is about thirty-two point five two US customary cups, or alternatively, a US customary cup is about zero point zero three times five hundred and thirteen UK tablespoons.
Footnotes
[1] The precision is 15 significant digits (fourteen digits to the right of the decimal point).
Results may contain small errors due to the use of floating point arithmetic.