131264225 has 12 divisors (see below), whose sum is σ = 172342764. Its totient is φ = 98833920.

The previous prime is 131264213. The next prime is 131264239. The reversal of 131264225 is 522462131.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 1281424 + 129982801 = 1132^2 + 11401^2 .

It is not a de Polignac number, because 131264225 - 2⁴ = 131264209 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 131264194 and 131264203.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 154004 + ... + 154853.

It is an arithmetic number, because the mean of its divisors is an integer number (14361897).

Almost surely, 2^131264225 is an apocalyptic number.

It is an amenable number.

131264225 is a deficient number, since it is larger than the sum of its proper divisors (41078539).

131264225 is a wasteful number, since it uses less digits than its factorization.

131264225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 308884 (or 308879 counting only the distinct ones).

The product of its digits is 2880, while the sum is 26.

The square root of 131264225 is about 11457.0600504667. The cubic root of 131264225 is about 508.2165374117.

The spelling of 131264225 in words is "one hundred thirty-one million, two hundred sixty-four thousand, two hundred twenty-five".