131205253 has 4 divisors (see below), whose sum is σ = 131302188. Its totient is φ = 131108320.

The previous prime is 131205233. The next prime is 131205257. The reversal of 131205253 is 352502131.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 352502131 = 2213 ⋅159287.

It can be written as a sum of positive squares in 2 ways, for example, as 101969604 + 29235649 = 10098^2 + 5407^2 .

It is a cyclic number.

It is not a de Polignac number, because 131205253 - 2²⁵ = 97650821 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131205257) 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 3 ways as a sum of consecutive naturals, for example, 46408 + ... + 49153.

It is an arithmetic number, because the mean of its divisors is an integer number (32825547).

Almost surely, 2^131205253 is an apocalyptic number.

It is an amenable number.

131205253 is a deficient number, since it is larger than the sum of its proper divisors (96935).

131205253 is an equidigital number, since it uses as much as digits as its factorization.

131205253 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96934.

The product of its (nonzero) digits is 900, while the sum is 22.

The square root of 131205253 is about 11454.4861517224. The cubic root of 131205253 is about 508.1404185886.

Adding to 131205253 its reverse (352502131), we get a palindrome (483707384).

The spelling of 131205253 in words is "one hundred thirty-one million, two hundred five thousand, two hundred fifty-three".