82701626721813 has 32 divisors (see below), whose sum is σ = 135654108088320. Its totient is φ = 49374105493680.

The previous prime is 82701626721809. The next prime is 82701626721817. The reversal of 82701626721813 is 31812762610728.

82701626721813 is a `hidden beast` number, since 8 + 2 + 7 + 0 + 1 + 626 + 7 + 2 + 1 + 8 + 1 + 3 = 666.

It is an interprime number because it is at equal distance from previous prime (82701626721809) and next prime (82701626721817).

It is not a de Polignac number, because 82701626721813 - 2² = 82701626721809 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 82701626721813.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82701626721817) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2078014845 + ... + 2078054642.

It is an arithmetic number, because the mean of its divisors is an integer number (4239190877760).

Almost surely, 2^{82701626721813} is an apocalyptic number.

It is an amenable number.

82701626721813 is a deficient number, since it is larger than the sum of its proper divisors (52952481366507).

82701626721813 is a wasteful number, since it uses less digits than its factorization.

82701626721813 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4156069574 (or 4156069568 counting only the distinct ones).

The product of its (nonzero) digits is 2709504, while the sum is 54.

The spelling of 82701626721813 in words is "eighty-two trillion, seven hundred one billion, six hundred twenty-six million, seven hundred twenty-one thousand, eight hundred thirteen".