82566117525771 has 36 divisors (see below), whose sum is σ = 134287135786440. Its totient is φ = 48819581659200.

The previous prime is 82566117525757. The next prime is 82566117525821. The reversal of 82566117525771 is 17752571166528.

82566117525771 is a `hidden beast` number, since 8 + 2 + 5 + 6 + 6 + 1 + 1 + 7 + 52 + 577 + 1 = 666.

It is not a de Polignac number, because 82566117525771 - 2¹¹ = 82566117523723 is a prime.

It is a hoax number, since the sum of its digits (63) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 82566117525699 and 82566117525708.

It is not an unprimeable number, because it can be changed into a prime (82566117525701) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 924568641 + ... + 924657938.

It is an arithmetic number, because the mean of its divisors is an integer number (3730198216290).

Almost surely, 2^{82566117525771} is an apocalyptic number.

82566117525771 is a deficient number, since it is larger than the sum of its proper divisors (51721018260669).

82566117525771 is a wasteful number, since it uses less digits than its factorization.

82566117525771 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1849226648 (or 1849226634 counting only the distinct ones).

The product of its digits is 49392000, while the sum is 63.

The spelling of 82566117525771 in words is "eighty-two trillion, five hundred sixty-six billion, one hundred seventeen million, five hundred twenty-five thousand, seven hundred seventy-one".