82771515121 has 16 divisors (see below), whose sum is σ = 87083596800. Its totient is φ = 78521235408.

The previous prime is 82771515119. The next prime is 82771515131. The reversal of 82771515121 is 12151517728.

It is a cyclic number.

It is not a de Polignac number, because 82771515121 - 2¹ = 82771515119 is a prime.

It is a super-2 number, since 2×82771515121² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (82771515131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1533820 + ... + 1586866.

It is an arithmetic number, because the mean of its divisors is an integer number (5442724800).

Almost surely, 2^82771515121 is an apocalyptic number.

It is an amenable number.

82771515121 is a deficient number, since it is larger than the sum of its proper divisors (4312081679).

82771515121 is a wasteful number, since it uses less digits than its factorization.

82771515121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53628.

The product of its digits is 39200, while the sum is 40.

The spelling of 82771515121 in words is "eighty-two billion, seven hundred seventy-one million, five hundred fifteen thousand, one hundred twenty-one".