54251 has 2 divisors, whose sum is σ = 54252. Its totient is φ = 54250.

The previous prime is 54217. The next prime is 54269. The reversal of 54251 is 15245.

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-54251 is a prime.

It is a Sophie Germain prime.

It is a Chen prime.

It is a plaindrome in base 15.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 54251.

It is not a weakly prime, because it can be changed into another prime (54151) by changing a digit.

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

It is a good prime.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 27125 + 27126.

It is an arithmetic number, because the mean of its divisors is an integer number (27126).

2⁵⁴²⁵¹ is an apocalyptic number.

54251 is the 125-th centered heptagonal number.

54251 is a deficient number, since it is larger than the sum of its proper divisors (1).

54251 is an equidigital number, since it uses as much as digits as its factorization.

54251 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 200, while the sum is 17.

The square root of 54251 is about 232.9184406611. The cubic root of 54251 is about 37.8561039909.

Adding to 54251 its reverse (15245), we get a palindrome (69496).

The spelling of 54251 in words is "fifty-four thousand, two hundred fifty-one".