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513,513

513,513 is a composite number, odd.

This number doesn't have a permanent NumberWiki page yet — what you see below is computed live. Pages get added to the permanent index when they're notable (years, primes, curated, etc.).

513,513 (five hundred thirteen thousand five hundred thirteen) is an odd 6-digit number. It is a composite number with 64 divisors, and factors as 3³ × 7 × 11 × 13 × 19. Its proper divisors sum to 561,687, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x7D5E9.

Abundant Number Arithmetic Number Happy Number Odious Number Pernicious Number Semiperfect Number

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
18
Digit product
225
Digital root
9
Palindrome
No
Bit width
19 bits
Reversed
315,315
Square (n²)
263,695,601,169
Cube (n³)
135,411,119,243,096,697
Divisor count
64
σ(n) — sum of divisors
1,075,200
φ(n) — Euler's totient
233,280
Sum of prime factors
59

Primality

Prime factorization: 3 3 × 7 × 11 × 13 × 19

Nearest primes: 513,511 (−2) · 513,529 (+16)

Divisors & multiples

All divisors (64)
1 · 3 · 7 · 9 · 11 · 13 · 19 · 21 · 27 · 33 · 39 · 57 · 63 · 77 · 91 · 99 · 117 · 133 · 143 · 171 · 189 · 209 · 231 · 247 · 273 · 297 · 351 · 399 · 429 · 513 · 627 · 693 · 741 · 819 · 1001 · 1197 · 1287 · 1463 · 1729 · 1881 · 2079 · 2223 · 2457 · 2717 · 3003 · 3591 · 3861 · 4389 · 5187 · 5643 · 6669 · 8151 · 9009 · 13167 · 15561 · 19019 · 24453 · 27027 · 39501 · 46683 · 57057 · 73359 · 171171 · 513513
Aliquot sum (sum of proper divisors): 561,687
Factor pairs (a × b = 513,513)
1 × 513513
3 × 171171
7 × 73359
9 × 57057
11 × 46683
13 × 39501
19 × 27027
21 × 24453
27 × 19019
33 × 15561
39 × 13167
57 × 9009
63 × 8151
77 × 6669
91 × 5643
99 × 5187
117 × 4389
133 × 3861
143 × 3591
171 × 3003
189 × 2717
209 × 2457
231 × 2223
247 × 2079
273 × 1881
297 × 1729
351 × 1463
399 × 1287
429 × 1197
513 × 1001
627 × 819
693 × 741
First multiples
513,513 · 1,027,026 (double) · 1,540,539 · 2,054,052 · 2,567,565 · 3,081,078 · 3,594,591 · 4,108,104 · 4,621,617 · 5,135,130

Sums & aliquot sequence

As consecutive integers: 256,756 + 256,757 171,170 + 171,171 + 171,172 85,583 + 85,584 + 85,585 + 85,586 + 85,587 + 85,588 73,356 + 73,357 + … + 73,362
Aliquot sequence: 513,513 561,687 309,729 183,247 1 0 — terminates at zero

Continued fraction of √n

√513,513 = [716; (1, 1, 2, 21, 1, 158, 3, 2, 6, 2, 3, 158, 1, 21, 2, 1, 1, 1432)]

Period length 18 — the block in parentheses repeats forever.

Representations

In words
five hundred thirteen thousand five hundred thirteen
Ordinal
513513th
Binary
1111101010111101001
Octal
1752751
Hexadecimal
0x7D5E9
Base64
B9Xp
One's complement
4,294,453,782 (32-bit)
Scientific notation
5.13513 × 10⁵
As a duration
513,513 s = 5 days, 22 hours, 38 minutes, 33 seconds
In other bases
ternary (3) 222002102000
quaternary (4) 1331113221
quinary (5) 112413023
senary (6) 15001213
septenary (7) 4236060
nonary (9) 862360
undecimal (11) 3208a0
duodecimal (12) 209209
tridecimal (13) 14c970
tetradecimal (14) d51d7
pentadecimal (15) a2243

As an angle

513,513° = 1,426 × 360° + 153°
153° ≈ 2.67 rad
Compass bearing: SSE (south-southeast)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹 𒌋𒌋𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓆐𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓎆𓏺𓏺𓏺
Greek (Milesian)
͵φιγφιγʹ
Chinese
五十一萬三千五百一十三
Chinese (financial)
伍拾壹萬參仟伍佰壹拾參
In other modern scripts
Eastern Arabic ٥١٣٥١٣ Devanagari ५१३५१३ Bengali ৫১৩৫১৩ Tamil ௫௧௩௫௧௩ Thai ๕๑๓๕๑๓ Tibetan ༥༡༣༥༡༣ Khmer ៥១៣៥១៣ Lao ໕໑໓໕໑໓ Burmese ၅၁၃၅၁၃

Also seen as

Hex color
#07D5E9
RGB(7, 213, 233)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.7.213.233.

Address
0.7.213.233
Class
reserved
IPv4-mapped IPv6
::ffff:0.7.213.233

Unspecified address (0.0.0.0/8) — "this network" placeholder.

Possible US patent number

This number falls in the range of US utility patent numbers. If it's a patent, it would be issued as US 513,513 and was likely granted around 1893.

Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.

Related reading