53031 has 8 divisors (see below), whose sum is σ = 77184. Its totient is φ = 32120.

The previous prime is 53017. The next prime is 53047. The reversal of 53031 is 13035.

Added to its reverse (13035) it gives a triangular number (66066 = T₃₆₃).

It is a happy number.

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

It is not a de Polignac number, because 53031 - 2⁵ = 52999 is a prime.

It is a super-2 number, since 2×53031² = 5624573922, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 52998 and 53016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53051) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 771 + ... + 836.

It is an arithmetic number, because the mean of its divisors is an integer number (9648).

2⁵³⁰³¹ is an apocalyptic number.

53031 is a deficient number, since it is larger than the sum of its proper divisors (24153).

53031 is a wasteful number, since it uses less digits than its factorization.

53031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1621.

The product of its (nonzero) digits is 45, while the sum is 12.

The square root of 53031 is about 230.2846065198. The cubic root of 53031 is about 37.5701796908.

Adding to 53031 its reverse (13035), we get a palindrome (66066).

It can be divided in two parts, 530 and 31, that added together give a triangular number (561 = T₃₃).

The spelling of 53031 in words is "fifty-three thousand, thirty-one".