Properties of the Number 52561

Fifty-Two Thousand Five Hundred Sixty-One

Basics

Value: 52560 → 52561 → 52562

Parity: odd

Prime: Yes

Previous Prime: 52553

Next Prime: 52567

Digit Sum: 19

Digital Root: 1

Palindrome: No

Factorization: 52561

Divisors: 1, 52561

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1100110101010001

Octal: 146521

Duodecimal: 26501

Hexadecimal: cd51

Square: 2762658721

Square Root: 229.26185901715095

Classification

Fibonacci: No

Bell Number: No

Factorial Number: No

Regular Number: No

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: No

Fermat Number: No

Cullen Number: No

OEIS Sequences

Number of self-avoiding planar walks of length n+1 starting at (0,0), ending at (n,0), remaining in the first quadrant and using steps (0,1), (1,0), (1,1), (-1,1), and (1,-1) with the restriction that (0,1) is never used below the diagonal and (1,0) is never used above the diagonal. A284778

Primes of the form abs(n⁵ - 99n⁴ + 3588n³ - 56822n² + 348272n - 286397) in order of increasing nonnegative n. A272444

Rounded volume of a regular dodecahedron with edge length n. A71401

Number of integer partitions of n such that no distinct part can be written as a (strictly) positive linear combination of the other distinct parts. A365072

Centered 20-gonal (or icosagonal) primes. A264845

Number of walks within N³ (the first octant of Z³) starting at (0,0,0) and consisting of n steps taken from {(-1, -1, 1), (-1, 1, -1), (-1, 1, 1), (1, -1, -1), (1, 1, 1)}. A149531

a(n) = (1 + 2ⁿ) * n!. A52561