82717201325187 has 64 divisors (see below), whose sum is σ = 152436471505920. Its totient is φ = 43553277504000.

The previous prime is 82717201325113. The next prime is 82717201325203. The reversal of 82717201325187 is 78152310271728.

82717201325187 is a `hidden beast` number, since 8 + 2 + 71 + 7 + 20 + 1 + 32 + 518 + 7 = 666.

82717201325187 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 82717201325187 - 2³⁶ = 82648481848451 is a prime.

It is not an unprimeable number, because it can be changed into a prime (82717201321187) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 630045439 + ... + 630176712.

It is an arithmetic number, because the mean of its divisors is an integer number (2381819867280).

Almost surely, 2^{82717201325187} is an apocalyptic number.

82717201325187 is a deficient number, since it is larger than the sum of its proper divisors (69719270180733).

82717201325187 is a wasteful number, since it uses less digits than its factorization.

82717201325187 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1260222201 (or 1260222195 counting only the distinct ones).

The product of its (nonzero) digits is 2634240, while the sum is 54.

The spelling of 82717201325187 in words is "eighty-two trillion, seven hundred seventeen billion, two hundred one million, three hundred twenty-five thousand, one hundred eighty-seven".