Number

53

53 is a prime, odd, a calendar year.

Arithmetic Number Balanced Prime Chen Prime Deficient Number Evil Number Prime Pythagorean Prime Recamán's Sequence Self Number Sexy Prime Sophie Germain Prime Squarefree Year

Historical context — 53 AD

Calendar year

AD 53 (LIII) was a common year starting on Monday of the Julian calendar.

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Historical context — 53 BC

Calendar year

Year 53 BC was a year of the pre-Julian Roman 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, 53
Ended on: Wednesday
December 31, 53
Friday the 13ths: 1
One Friday the 13th this year.
Decade: 50s
50–59
Century: 1st century
1–100
Millennium: 1st millennium
1–1000
Years ago: 1,973
1973 years before 2026.

In other calendars

Hebrew: 3813 / 3814 AM
Rosh Hashanah falls in September/October.
Chinese: Year of the zodiac:Water zodiac:Ox
Sexagenary cycle position 50 of 60. Lunar new year falls in late January / mid-February.
Buddhist Era: 596 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Ethiopian: 45 / 46 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka): -25 / -26 Saka
Indian national calendar; year starts in March.

Properties

Parity: Odd
Digit count: 2
Digit sum: 8
Digit product: 15
Digital root: 8
Palindrome: No
Bit width: 6 bits
Reversed: 35
Recamán's sequence: a(210) = 53
Square (n²): 2,809
Cube (n³): 148,877
Divisor count: 2
σ(n) — sum of divisors: 54
φ(n) — Euler's totient: 52

Primality

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

Divisors & multiples

All divisors (2)

1 · 53

Aliquot sum (sum of proper divisors): 1

Factor pairs (a × b = 53)

1 × 53

First multiples

53 · 106 (double) · 159 · 212 · 265 · 318 · 371 · 424 · 477 · 530

Sums & aliquot sequence

As a sum of two squares: 2² + 7²

As consecutive integers: 26 + 27

Representations

In words: fifty-three
Ordinal: 53rd
Roman numeral: LIII
Binary: 110101
Octal: 65
Hexadecimal: 0x35
Base64: NQ==
One's complement: 202 (8-bit)

In other bases

ternary (3) 1222

quaternary (4) 311

quinary (5) 203

senary (6) 125

septenary (7) 104

nonary (9) 58

undecimal (11) 49

duodecimal (12) 45

tridecimal (13) 41

tetradecimal (14) 3b

pentadecimal (15) 38

Historical numeral systems

Babylonian (base 60): 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹
Egyptian hieroglyphic: 𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺
Greek (Milesian): νγʹ
Mayan (base 20): 𝋢·𝋭
Chinese: 五十三
Chinese (financial): 伍拾參

In other modern scripts

Eastern Arabic ٥٣ Devanagari ५३ Bengali ৫৩ Tamil ௫௩ Thai ๕๓ Tibetan ༥༣ Khmer ៥៣ Lao ໕໓ Burmese ၅၃

Digit at this position in famous constants

π — Pi (π): Digit 53 = 8
e — Euler's number (e): Digit 53 = 5
φ — Golden ratio (φ): Digit 53 = 8
√2 — Pythagoras's (√2): Digit 53 = 0
ln 2 — Natural log of 2: Digit 53 = 2
γ — Euler-Mascheroni (γ): Digit 53 = 5

Also seen as

Prime neighborhood

Adjacent primes:

Previous prime: 47 (gap of 6)
Next prime: 59 (gap of 6)

Pair status: sexy with 47, sexy with 59.

ASCII character

As an ASCII codepoint, 53 is 5. Printable ASCII character 5.

Network port

TCP/UDP port 53 is the well-known port for DNS — Domain Name System.

Hex color

#000035

RGB(0, 0, 53)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.0.53.

Address: 0.0.0.53
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.0.53

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