55131 has 16 divisors (see below), whose sum is σ = 82944. Its totient is φ = 32384.

The previous prime is 55127. The next prime is 55147. The reversal of 55131 is 13155.

55131 = T₂₃ + T₂₄ + ... + T₆₉.

It is not a de Polignac number, because 55131 - 2² = 55127 is a prime.

It is a super-2 number, since 2×55131² = 6078854322, which contains 22 as substring.

55131 is a lucky number.

It is a self number, because there is not a number n which added to its sum of digits gives 55131.

It is not an unprimeable number, because it can be changed into a prime (55171) 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 in 15 ways as a sum of consecutive naturals, for example, 1150 + ... + 1196.

It is an arithmetic number, because the mean of its divisors is an integer number (5184).

2⁵⁵¹³¹ is an apocalyptic number.

55131 is a gapful number since it is divisible by the number (51) formed by its first and last digit.

55131 is the 149-th centered pentagonal number.

55131 is a deficient number, since it is larger than the sum of its proper divisors (27813).

55131 is a wasteful number, since it uses less digits than its factorization.

55131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90.

The product of its digits is 75, while the sum is 15.

The square root of 55131 is about 234.7999148211. The cubic root of 55131 is about 38.0596938055.

Adding to 55131 its reverse (13155), we get a palindrome (68286).

The spelling of 55131 in words is "fifty-five thousand, one hundred thirty-one".