### About the Number 513 (five hundred thirteen)

513 was the smallest number without a nBAB on 21 June 2018.

```MathBabbler Number Analyst (MBNA) output:
=========================================
513 is natural, counting, whole, integer
513 is odd (not even)
513 is extremely odd
513 is super extremely odd
513 proper divisors are: 1,3,9,19,27,57,171,
513 has 7 proper divisors
513 is deficient (sum of divisors is 287; ratio: 0.559454)
513 is unhappy
513 is not a Squarefree Number: 9,
513 is Harshad (Niven) number
513 is composite (not prime)
513 has the prime factors: 3*3*3*19 (sum=28)
513 is a 19-smooth number
513 is Recaman number 284
513 in octal is 01001
513 in hexadecimal is 0x201
513 in binary is 1000000001 (is evil)(is palindromic)
513 nearest square numbers: -29...16 (484...529 )
sqrt(513) = 22.6495
ln(513) = 6.24028
log(513) = 2.71012
513! is 1.78385e+1169
513 is 163.293 Pi years
513 is 25 score and 13 years
513 written as a Roman numeral is DXIII
513 is 257^2 - 256^2 and 257 + 256 = 513
513 is a multiple of 1 & it contains a 1 (A011531)
513 is a multiple of 3 & it contains a 3 (A121023)
__________________
513 reciprocal is 0.001949317738791423
remainders:
1,10,100,487,253,478,163,91,397,379,199,451,406,469,73,217,118,154,1
```

Creator: Gerald Thurman [gthurman@gmail.com]
Created: 21 June 2018 