131553 has 12 divisors (see below), whose sum is σ = 194688. Its totient is φ = 85560.

The previous prime is 131543. The next prime is 131561. The reversal of 131553 is 355131.

It is a happy number.

It is not a de Polignac number, because 131553 - 2⁶ = 131489 is a prime.

131553 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (131543) 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, 268 + ... + 578.

It is an arithmetic number, because the mean of its divisors is an integer number (16224).

2¹³¹⁵⁵³ is an apocalyptic number.

It is an amenable number.

131553 is a deficient number, since it is larger than the sum of its proper divisors (63135).

131553 is a wasteful number, since it uses less digits than its factorization.

131553 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 364 (or 361 counting only the distinct ones).

The product of its digits is 225, while the sum is 18.

The square root of 131553 is about 362.7023573124. The cubic root of 131553 is about 50.8588948453.

Subtracting from 131553 its product of digits (225), we obtain a triangular number (131328 = T₅₁₂).

Adding to 131553 its reverse (355131), we get a palindrome (486684).

The spelling of 131553 in words is "one hundred thirty-one thousand, five hundred fifty-three".