53131 has 8 divisors (see below), whose sum is σ = 59024. Its totient is φ = 47520.

The previous prime is 53129. The next prime is 53147. The reversal of 53131 is 13135.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a 5-Lehmer number, since φ(53131) divides (53131-1)⁵.

It is a cyclic number.

It is not a de Polignac number, because 53131 - 2¹ = 53129 is a prime.

It is a super-2 number, since 2×53131² = 5645806322, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is the 231-st Hogben number.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (53101) by changing a digit.

It is a nontrivial repunit in base 230.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 760 + ... + 826.

It is an arithmetic number, because the mean of its divisors is an integer number (7378).

2⁵³¹³¹ is an apocalyptic number.

53131 is a deficient number, since it is larger than the sum of its proper divisors (5893).

53131 is a wasteful number, since it uses less digits than its factorization.

53131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141.

The product of its digits is 45, while the sum is 13.

The square root of 53131 is about 230.5016268923. The cubic root of 53131 is about 37.5937800938.

Adding to 53131 its reverse (13135), we get a palindrome (66266).

It can be divided in two parts, 531 and 31, that multiplied together give a palindrome (16461).

The spelling of 53131 in words is "fifty-three thousand, one hundred thirty-one".