82195431125 has 12 divisors (see below), whose sum is σ = 102583898508. Its totient is φ = 65753780600.

The previous prime is 82195431121. The next prime is 82195431139. The reversal of 82195431125 is 52113459128.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 2630253796 + 79565177329 = 51286^2 + 282073^2 .

It is not a de Polignac number, because 82195431125 - 2² = 82195431121 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 (82195431121) 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, 3192554 + ... + 3218196.

It is an arithmetic number, because the mean of its divisors is an integer number (8548658209).

Almost surely, 2^82195431125 is an apocalyptic number.

It is an amenable number.

82195431125 is a deficient number, since it is larger than the sum of its proper divisors (20388467383).

82195431125 is an frugal number, since it uses more digits than its factorization.

82195431125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51301 (or 25648 counting only the distinct ones).

The product of its digits is 86400, while the sum is 41.

The spelling of 82195431125 in words is "eighty-two billion, one hundred ninety-five million, four hundred thirty-one thousand, one hundred twenty-five".