82662575121 has 27 divisors (see below), whose sum is σ = 138905765193. Its totient is φ = 47232307080.

The previous prime is 82662575101. The next prime is 82662575189. The reversal of 82662575121 is 12157526628.

The square root of 82662575121 is 287511.

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

82662575121 is a `hidden beast` number, since 8 + 2 + 6 + 62 + 575 + 12 + 1 = 666.

It is a de Polignac number, because none of the positive numbers 2^k-82662575121 is a prime.

It is not an unprimeable number, because it can be changed into a prime (82662575101) by changing a digit.

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 26 ways as a sum of consecutive naturals, for example, 6030886 + ... + 6044576.

Almost surely, 2^82662575121 is an apocalyptic number.

82662575121 is the 287511-st square number.

82662575121 is the 143756-th centered octagonal number.

It is an amenable number.

82662575121 is a deficient number, since it is larger than the sum of its proper divisors (56243190072).

82662575121 is an frugal number, since it uses more digits than its factorization.

82662575121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27402 (or 13701 counting only the distinct ones).

The product of its digits is 403200, while the sum is 45.

The spelling of 82662575121 in words is "eighty-two billion, six hundred sixty-two million, five hundred seventy-five thousand, one hundred twenty-one".