131561825 has 24 divisors (see below), whose sum is σ = 171681720. Its totient is φ = 99878400.

The previous prime is 131561813. The next prime is 131561851. The reversal of 131561825 is 528165131.

It can be written as a sum of positive squares in 12 ways, for example, as 80425024 + 51136801 = 8968^2 + 7151^2 .

It is not a de Polignac number, because 131561825 - 2⁴ = 131561809 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 131561791 and 131561800.

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 23 ways as a sum of consecutive naturals, for example, 36191 + ... + 39659.

It is an arithmetic number, because the mean of its divisors is an integer number (7153405).

Almost surely, 2^131561825 is an apocalyptic number.

It is an amenable number.

131561825 is a deficient number, since it is larger than the sum of its proper divisors (40119895).

131561825 is a wasteful number, since it uses less digits than its factorization.

131561825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3557 (or 3552 counting only the distinct ones).

The product of its digits is 7200, while the sum is 32.

The square root of 131561825 is about 11470.0403225098. The cubic root of 131561825 is about 508.6003207949.

The spelling of 131561825 in words is "one hundred thirty-one million, five hundred sixty-one thousand, eight hundred twenty-five".