82125777266973 has 48 divisors (see below), whose sum is σ = 129804327461952. Its totient is φ = 49621841568000.

The previous prime is 82125777266971. The next prime is 82125777266983. The reversal of 82125777266973 is 37966277752128.

82125777266973 is a `hidden beast` number, since 8 + 21 + 2 + 577 + 7 + 26 + 6 + 9 + 7 + 3 = 666.

It is not a de Polignac number, because 82125777266973 - 2¹ = 82125777266971 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82125777266971) 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, 52204483 + ... + 53754623.

It is an arithmetic number, because the mean of its divisors is an integer number (2704256822124).

Almost surely, 2^{82125777266973} is an apocalyptic number.

It is an amenable number.

82125777266973 is a deficient number, since it is larger than the sum of its proper divisors (47678550194979).

82125777266973 is a wasteful number, since it uses less digits than its factorization.

82125777266973 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1551786 (or 1551783 counting only the distinct ones).

The product of its digits is 746807040, while the sum is 72.

The spelling of 82125777266973 in words is "eighty-two trillion, one hundred twenty-five billion, seven hundred seventy-seven million, two hundred sixty-six thousand, nine hundred seventy-three".