82355066381413 has 12 divisors (see below), whose sum is σ = 97371296287212. Its totient is φ = 69432842848320.

The previous prime is 82355066381369. The next prime is 82355066381417. The reversal of 82355066381413 is 31418366055328.

It can be written as a sum of positive squares in 2 ways, for example, as 7493238314884 + 74861828066529 = 2737378^2 + 8652273^2 .

It is not a de Polignac number, because 82355066381413 - 2³³ = 82346476446821 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82355066381417) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13776354720 + ... + 13776360697.

It is an arithmetic number, because the mean of its divisors is an integer number (8114274690601).

Almost surely, 2^{82355066381413} is an apocalyptic number.

It is an amenable number.

82355066381413 is a deficient number, since it is larger than the sum of its proper divisors (15016229905799).

82355066381413 is a wasteful number, since it uses less digits than its factorization.

82355066381413 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27552715492 (or 27552715485 counting only the distinct ones).

The product of its (nonzero) digits is 12441600, while the sum is 55.

The spelling of 82355066381413 in words is "eighty-two trillion, three hundred fifty-five billion, sixty-six million, three hundred eighty-one thousand, four hundred thirteen".