51301 has 6 divisors (see below), whose sum is σ = 54002. Its totient is φ = 48720.

The previous prime is 51287. The next prime is 51307. The reversal of 51301 is 10315.

51301 is nontrivially palindromic in base 6 and base 15.

It can be written as a sum of positive squares in 3 ways, for example, as 676 + 50625 = 26^2 + 225^2 .

It is not a de Polignac number, because 51301 - 2⁹ = 50789 is a prime.

It is an Ulam number.

It is a Duffinian number.

It is a nialpdrome in base 9 and base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51307) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 811 + ... + 871.

It is a 19-hyperperfect number.

2⁵¹³⁰¹ is an apocalyptic number.

It is an amenable number.

51301 is a deficient number, since it is larger than the sum of its proper divisors (2701).

51301 is an equidigital number, since it uses as much as digits as its factorization.

51301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 15, while the sum is 10.

The square root of 51301 is about 226.4972406013. The cubic root of 51301 is about 37.1571113225.

Adding to 51301 its reverse (10315), we get a palindrome (61616).

It can be divided in two parts, 51 and 301, that multiplied together give a palindrome (15351).

The spelling of 51301 in words is "fifty-one thousand, three hundred one".