53181 has 12 divisors (see below), whose sum is σ = 81120. Its totient is φ = 33480.

The previous prime is 53173. The next prime is 53189. The reversal of 53181 is 18135.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (53173) and next prime (53189).

It is not a de Polignac number, because 53181 - 2³ = 53173 is a prime.

It is a super-2 number, since 2×53181² = 5656437522, which contains 22 as substring.

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

It is a Curzon number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 53181.

It is not an unprimeable number, because it can be changed into a prime (53189) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16 + ... + 326.

It is an arithmetic number, because the mean of its divisors is an integer number (6760).

2⁵³¹⁸¹ is an apocalyptic number.

It is an amenable number.

53181 is a deficient number, since it is larger than the sum of its proper divisors (27939).

53181 is a wasteful number, since it uses less digits than its factorization.

53181 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 336 (or 333 counting only the distinct ones).

The product of its digits is 120, while the sum is 18.

The square root of 53181 is about 230.6100604917. The cubic root of 53181 is about 37.6055691917.

Adding to 53181 its product of digits (120), we get a triangular number (53301 = T₃₂₆).

The spelling of 53181 in words is "fifty-three thousand, one hundred eighty-one".