82701835152705 has 48 divisors (see below), whose sum is σ = 143427885151824. Its totient is φ = 44083638466560.

The previous prime is 82701835152659. The next prime is 82701835152707. The reversal of 82701835152705 is 50725153810728.

It is a happy number.

82701835152705 is a `hidden beast` number, since 8 + 2 + 7 + 0 + 18 + 351 + 5 + 270 + 5 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 6245540795664 + 76456294357041 = 2499108^2 + 8743929^2 .

It is not a de Polignac number, because 82701835152705 - 2⁹ = 82701835152193 is a prime.

It is not an unprimeable number, because it can be changed into a prime (82701835152707) 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, 980104477 + ... + 980188853.

It is an arithmetic number, because the mean of its divisors is an integer number (2988080940663).

Almost surely, 2^{82701835152705} is an apocalyptic number.

It is an amenable number.

82701835152705 is a deficient number, since it is larger than the sum of its proper divisors (60726049999119).

82701835152705 is a wasteful number, since it uses less digits than its factorization.

82701835152705 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95986 (or 95983 counting only the distinct ones).

The product of its (nonzero) digits is 4704000, while the sum is 54.

The spelling of 82701835152705 in words is "eighty-two trillion, seven hundred one billion, eight hundred thirty-five million, one hundred fifty-two thousand, seven hundred five".