131583286082325 has 48 divisors (see below), whose sum is σ = 271232456726016. Its totient is φ = 54683963044800.

The previous prime is 131583286082243. The next prime is 131583286082327. The reversal of 131583286082325 is 523280682385131.

It is a happy number.

It is not a de Polignac number, because 131583286082325 - 2⁸ = 131583286082069 is a prime.

It is a super-2 number, since 2×131583286082325² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131583286082327) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11392486527 + ... + 11392498076.

It is an arithmetic number, because the mean of its divisors is an integer number (5650676181792).

Almost surely, 2^{131583286082325} is an apocalyptic number.

131583286082325 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

131583286082325 is an abundant number, since it is smaller than the sum of its proper divisors (139649170643691).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

131583286082325 is a wasteful number, since it uses less digits than its factorization.

131583286082325 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22784984634 (or 22784984629 counting only the distinct ones).

The product of its (nonzero) digits is 16588800, while the sum is 57.

The spelling of 131583286082325 in words is "one hundred thirty-one trillion, five hundred eighty-three billion, two hundred eighty-six million, eighty-two thousand, three hundred twenty-five".