Live analysis

1,061,513

1,061,513 is a prime, 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.).

1,061,513 (one million sixty-one thousand five hundred thirteen) is an odd 7-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x103289.

Arithmetic Number Cousin Prime Cube-Free Deficient Number Emirp Odious Number Pernicious Number Prime Pythagorean Prime Sophie Germain Prime Squarefree

Interestingness

★ ★ ★ ★ ★

8 notable facts · grade A

1,061,501 1,061,502 1,061,503 1,061,504 1,061,505 1,061,506 1,061,507 1,061,508 1,061,509 1,061,510 1,061,511 1,061,512 1,061,513 1,061,514 1,061,515 1,061,516 1,061,517 1,061,518 1,061,519 1,061,520 1,061,521 1,061,522 1,061,523 1,061,524 1,061,525

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Properties

Parity: Odd
Digit count: 7
Digit sum: 17
Digit product: 0
Digital root: 8
Palindrome: No
Bit width: 21 bits
Reversed: 3,151,601
Square (n²): 1,126,809,849,169
Cube (n³): 1,196,123,303,420,932,697
Divisor count: 2
σ(n) — sum of divisors: 1,061,514
φ(n) — Euler's totient: 1,061,512

Primality

1,061,513 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)

1 · 1061513

Aliquot sum (sum of proper divisors): 1

Factor pairs (a × b = 1,061,513)

1 × 1061513

First multiples

1,061,513 · 2,123,026 (double) · 3,184,539 · 4,246,052 · 5,307,565 · 6,369,078 · 7,430,591 · 8,492,104 · 9,553,617 · 10,615,130

Sums & aliquot sequence

As a sum of two squares: 188² + 1,013²

As consecutive integers: 530,756 + 530,757

Continued fraction of √n

√1,061,513 = [1030; (3, 2, 1, 3, 2, 1, 6, 1, 2, 1, 11, 5, 1, 9, 1, 1, 12, 1, 1, 1, 1, 63, 1, 3, …)]

Representations

In words: one million sixty-one thousand five hundred thirteen
Ordinal: 1061513th
Binary: 100000011001010001001
Octal: 4031211
Hexadecimal: 0x103289
Base64: EDKJ
One's complement: 4,293,905,782 (32-bit)
Scientific notation: 1.061513 × 10⁶
As a duration: 1,061,513 s = 12 days, 6 hours, 51 minutes, 53 seconds

In other bases

ternary (3) 1222221010022

quaternary (4) 10003022021

quinary (5) 232432023

senary (6) 34430225

septenary (7) 12010535

nonary (9) 1887108

undecimal (11) 665592

duodecimal (12) 432375

tridecimal (13) 2b221b

tetradecimal (14) 1d8bc5

pentadecimal (15) 15e7c8

As an angle

1,061,513° = 2,948 × 360° + 233°

233° ≈ 4.067 rad

Compass bearing: SW (southwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹
Egyptian hieroglyphic: 𓁨𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓍢𓍢𓍢𓍢𓍢𓎆𓏺𓏺𓏺
Chinese: 一百零六萬一千五百一十三
Chinese (financial): 壹佰零陸萬壹仟伍佰壹拾參

In other modern scripts

Eastern Arabic ١٠٦١٥١٣ Devanagari १०६१५१३ Bengali ১০৬১৫১৩ Tamil ௧௦௬௧௫௧௩ Thai ๑๐๖๑๕๑๓ Tibetan ༡༠༦༡༥༡༣ Khmer ១០៦១៥១៣ Lao ໑໐໖໑໕໑໓ Burmese ၁၀၆၁၅၁၃

Also seen as

Prime neighborhood

Adjacent primes:

Previous prime: 1,061,509 (gap of 4)
Next prime: 1,061,527 (gap of 14)

Pair status: cousin with 1061509.

Hex color

#103289

RGB(16, 50, 137)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.16.50.137.

Address: 0.16.50.137
Class: reserved
IPv4-mapped IPv6: ::ffff:0.16.50.137

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

Possible date

Could be parsed as a date. Most likely interpretation: Monday, January 6, 1513 (MDDYYYY (US, single-digit month)).

Other possible interpretations (3)

1513-06-01 (DMMYYYY (Euro, single-digit day))
1513-10-06 (MMDYYYY (US, single-digit day))
1513-06-10 (DDMYYYY (Euro, single-digit month))

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 1,061,513 and was likely granted around 1912.

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

Look up US1,061,513 on Google Patents ↗ Look up on USPTO ↗