53101 has 2 divisors, whose sum is σ = 53102. Its totient is φ = 53100.

The previous prime is 53093. The next prime is 53113. The reversal of 53101 is 10135.

53101 is nontrivially palindromic in base 15.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 51076 + 2025 = 226^2 + 45^2 .

It is a cyclic number.

It is not a de Polignac number, because 53101 - 2³ = 53093 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (53161) 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 as a sum of consecutive naturals, namely, 26550 + 26551.

It is an arithmetic number, because the mean of its divisors is an integer number (26551).

2⁵³¹⁰¹ is an apocalyptic number.

It is an amenable number.

53101 is a deficient number, since it is larger than the sum of its proper divisors (1).

53101 is an equidigital number, since it uses as much as digits as its factorization.

53101 is an odious number, because the sum of its binary digits is odd.

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

The square root of 53101 is about 230.4365422410. The cubic root of 53101 is about 37.5867030845.

Adding to 53101 its reverse (10135), we get a palindrome (63236).

The spelling of 53101 in words is "fifty-three thousand, one hundred one".