82134131225 has 24 divisors (see below), whose sum is σ = 104599769472. Its totient is φ = 63942177600.

The previous prime is 82134131203. The next prime is 82134131257. The reversal of 82134131225 is 52213143128.

It is not a de Polignac number, because 82134131225 - 2⁶ = 82134131161 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 82134131191 and 82134131200.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 150359 + ... + 432291.

It is an arithmetic number, because the mean of its divisors is an integer number (4358323728).

Almost surely, 2^82134131225 is an apocalyptic number.

It is an amenable number.

82134131225 is a deficient number, since it is larger than the sum of its proper divisors (22465638247).

82134131225 is a wasteful number, since it uses less digits than its factorization.

82134131225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 282257 (or 282252 counting only the distinct ones).

The product of its digits is 11520, while the sum is 32.

The spelling of 82134131225 in words is "eighty-two billion, one hundred thirty-four million, one hundred thirty-one thousand, two hundred twenty-five".