55251 has 12 divisors (see below), whose sum is σ = 91312. Its totient is φ = 31536.

The previous prime is 55249. The next prime is 55259. The reversal of 55251 is 15255.

55251 = T₅₀ + T₅₁ + ... + T₇₆.

55251 is nontrivially palindromic in base 13.

It is not a de Polignac number, because 55251 - 2¹ = 55249 is a prime.

It is a Duffinian number.

55251 is an undulating number in base 13.

It is not an unprimeable number, because it can be changed into a prime (55259) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 376 + ... + 501.

2⁵⁵²⁵¹ is an apocalyptic number.

55251 is the 126-th nonagonal number.

55251 is a deficient number, since it is larger than the sum of its proper divisors (36061).

55251 is a wasteful number, since it uses less digits than its factorization.

55251 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 890 (or 887 counting only the distinct ones).

The product of its digits is 250, while the sum is 18.

The square root of 55251 is about 235.0553126394. The cubic root of 55251 is about 38.0872878003.

The spelling of 55251 in words is "fifty-five thousand, two hundred fifty-one".