82143134991225 has 1215 divisors, whose sum is σ = 202544613677679. Its totient is φ = 31792553654400.

The previous prime is 82143134991133. The next prime is 82143134991287. The reversal of 82143134991225 is 52219943134128.

The square root of 82143134991225 is 9063285.

It is a perfect power (a square), and thus also a powerful number.

82143134991225 is a `hidden beast` number, since 8 + 2 + 14 + 3 + 13 + 499 + 122 + 5 = 666.

It can be written as a sum of positive squares in only one way, i.e., 29571528596841 + 52571606394384 = 5437971^2 + 7250628^2 .

It is not a de Polignac number, because 82143134991225 - 2²³ = 82143126602617 is a prime.

It is a super-3 number, since 3×82143134991225³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 1214 ways as a sum of consecutive naturals, for example, 1392256525246 + ... + 1392256525304.

Almost surely, 2^{82143134991225} is an apocalyptic number.

82143134991225 is the 9063285-th square number.

82143134991225 is the 4531643-rd centered octagonal number.

It is an amenable number.

82143134991225 is an abundant number, since it is smaller than the sum of its proper divisors (120401478686454).

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

82143134991225 is a wasteful number, since it uses less digits than its factorization.

82143134991225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222 (or 104 counting only the distinct ones).

The product of its digits is 3732480, while the sum is 54.

The spelling of 82143134991225 in words is "eighty-two trillion, one hundred forty-three billion, one hundred thirty-four million, nine hundred ninety-one thousand, two hundred twenty-five".