53138 has 6 divisors (see below), whose sum is σ = 80199. Its totient is φ = 26406.

The previous prime is 53129. The next prime is 53147. The reversal of 53138 is 83135.

53138 is nontrivially palindromic in base 5.

It is an interprime number because it is at equal distance from previous prime (53129) and next prime (53147).

It can be written as a sum of positive squares in only one way, i.e., 26569 + 26569 = 163^2 + 163^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=163.

It is a Duffinian number.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 245 + ... + 407.

2⁵³¹³⁸ is an apocalyptic number.

53138 is a deficient number, since it is larger than the sum of its proper divisors (27061).

53138 is an equidigital number, since it uses as much as digits as its factorization.

53138 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 328 (or 165 counting only the distinct ones).

The product of its digits is 360, while the sum is 20.

The square root of 53138 is about 230.5168106668. The cubic root of 53138 is about 37.5954310126.

It can be divided in two parts, 53 and 138, that added together give a palindrome (191).

The spelling of 53138 in words is "fifty-three thousand, one hundred thirty-eight".