Properties of the Number 625

Six Hundred Twenty-Five

Basics

Value: 624 → 625 → 626

Parity: odd

Prime: No

Previous Prime: 619

Next Prime: 631

Digit Sum: 13

Digital Root: 4

Palindrome: No

Factorization: 5 ⁴

Divisors: 1, 5, 25, 125, 625

Polygonal

Triangular: No

Square: Yes

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1001110001

Octal: 1161

Duodecimal: 441

Hexadecimal: 271

Square: 390625

Square Root: 25

Classification

Fibonacci: No

Bell Number: No

Factorial Number: No

Regular Number: Yes

Perfect Number: No

Special

Kaprekar Constant: No

Munchausen Constant: No

Armstrong Number: No

Kaprekar Number: No

Catalan Number: No

Vampire Number: No

Taxicab Number: No

Super Prime: No

Friedman Number: Yes

Fermat Number: No

Cullen Number: No

OEIS Sequences

The squares: a(n) = n². A290

Perfect powers: m^k where m > 0 and k >= 2. A1597

Primorial base exp-function: digits in primorial base representation of n become the exponents of successive prime factors whose product a(n) is. A276086

Powerful numbers, definition (1): if a prime p divides n then p² must also divide n (also called squareful, square full, square-full or 2-powerful numbers). A1694

Quarter-squares: a(n) = floor(n/2)*ceiling(n/2). Equivalently, a(n) = floor(n²/4). A2620

The Doudna sequence: write n-1 in binary; power of prime(k) in a(n) is # of 1's that are followed by k-1 0's. A5940

Fourth powers: a(n) = n⁴. A583

Number of labeled rooted trees with n nodes: n^n-1. A169

Powers of 5: a(n) = 5ⁿ. A351

Odd squares: a(n) = (2n+1)². Also centered octagonal numbers. A16754