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Number

1,259

1,259 is a prime, odd, a calendar year.

Arithmetic Number Ascending Digits Chen Prime Deficient Number Emirp Odious Number Pernicious Number Prime Recamán's Sequence Squarefree Year

Historical context — 1259 AD

Calendar year

Year 1259 (MCCLIX) was a common year starting on Wednesday of the Julian calendar.

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Year facts

Year type
Common year
Standard 365-day year; not divisible by 4 (or divisible by 100 but not 400).
Days in year
365
ISO weeks
52
Started on
Wednesday
January 1, 1259
Ended on
Wednesday
December 31, 1259
Friday the 13ths
1
One Friday the 13th this year.
Decade
1250s
1250–1259
Century
13th century
1201–1300
Millennium
2nd millennium
1001–2000
Years ago
767
767 years before 2026.

In other calendars

Hebrew
5019 / 5020 AM
Rosh Hashanah falls in September/October.
Islamic Hijri
656 / 658 AH
Lunar calendar; year spans differ from Gregorian.
Chinese
Year of the zodiac:Earth zodiac:Goat
Sexagenary cycle position 56 of 60. Lunar new year falls in late January / mid-February.
Buddhist Era
1802 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Persian Solar Hijri
637 / 638 SH
Iranian calendar; Nowruz (new year) falls on the spring equinox.
Ethiopian
1251 / 1252 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka)
1181 / 1180 Saka
Indian national calendar; year starts in March.

Properties

Parity
Odd
Digit count
4
Digit sum
17
Digit product
90
Digital root
8
Palindrome
No
Bit width
11 bits
Reversed
9,521
Recamán's sequence
a(8,470) = 1,259
Square (n²)
1,585,081
Cube (n³)
1,995,616,979
Divisor count
2
σ(n) — sum of divisors
1,260
φ(n) — Euler's totient
1,258

Primality

1,259 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 1259
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 1,259)
1 × 1259
First multiples
1,259 · 2,518 (double) · 3,777 · 5,036 · 6,295 · 7,554 · 8,813 · 10,072 · 11,331 · 12,590

Sums & aliquot sequence

As consecutive integers: 629 + 630

Representations

In words
one thousand two hundred fifty-nine
Ordinal
1259th
Roman numeral
MCCLIX
Binary
10011101011
Octal
2353
Hexadecimal
0x4EB
Base64
BOs=
One's complement
64,276 (16-bit)
In other bases
ternary (3) 1201122
quaternary (4) 103223
quinary (5) 20014
senary (6) 5455
septenary (7) 3446
nonary (9) 1648
undecimal (11) a45
duodecimal (12) 88b
tridecimal (13) 75b
tetradecimal (14) 65d
pentadecimal (15) 58e

Historical numeral systems

Babylonian (base 60)
𒌋𒌋 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆼𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ασνθʹ
Mayan (base 20)
𝋣·𝋢·𝋳
Chinese
一千二百五十九
Chinese (financial)
壹仟貳佰伍拾玖
In other modern scripts
Eastern Arabic ١٢٥٩ Devanagari १२५९ Bengali ১২৫৯ Tamil ௧௨௫௯ Thai ๑๒๕๙ Tibetan ༡༢༥༩ Khmer ១២៥៩ Lao ໑໒໕໙ Burmese ၁၂၅၉

Digit at this position in famous constants

π — Pi (π)
Digit 1,259 = 3
e — Euler's number (e)
Digit 1,259 = 1
φ — Golden ratio (φ)
Digit 1,259 = 7
√2 — Pythagoras's (√2)
Digit 1,259 = 1
ln 2 — Natural log of 2
Digit 1,259 = 6
γ — Euler-Mascheroni (γ)
Digit 1,259 = 8

Also seen as

Prime neighborhood

Adjacent primes:

  • Previous prime: 1,249 (gap of 10)
  • Next prime: 1,277 (gap of 18)
Unicode codepoint
ӫ
Cyrillic Small Letter Barred O With Diaeresis
U+04EB
Lowercase letter (Ll)

UTF-8 encoding: D3 AB (2 bytes).

Hex color
#0004EB
RGB(0, 4, 235)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.4.235.

Address
0.0.4.235
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.4.235

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

Position in π

The digit sequence 1259 first appears in π at position 23,662 of the decimal expansion (the 23,662ordinal-suffix:nd digit after the integer 3).

Search range: the first 1,000,000 fractional digits of π. Any 6-digit-or-shorter string is virtually guaranteed to appear in there — the more interesting signal is the position.