82165361030457 has 16 divisors (see below), whose sum is σ = 110786052240000. Its totient is φ = 54160802985344.

The previous prime is 82165361030443. The next prime is 82165361030479. The reversal of 82165361030457 is 75403016356128.

It is a cyclic number.

It is not a de Polignac number, because 82165361030457 - 2²⁶ = 82165293921593 is a prime.

It is a super-2 number, since 2×82165361030457² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (82165361030497) 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 15 ways as a sum of consecutive naturals, for example, 21641044 + ... + 25152842.

It is an arithmetic number, because the mean of its divisors is an integer number (6924128265000).

Almost surely, 2^{82165361030457} is an apocalyptic number.

It is an amenable number.

82165361030457 is a deficient number, since it is larger than the sum of its proper divisors (28620691209543).

82165361030457 is a wasteful number, since it uses less digits than its factorization.

82165361030457 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3599520.

The product of its (nonzero) digits is 3628800, while the sum is 51.

The spelling of 82165361030457 in words is "eighty-two trillion, one hundred sixty-five billion, three hundred sixty-one million, thirty thousand, four hundred fifty-seven".