82317185751516 has 192 divisors, whose sum is σ = 215612591040000. Its totient is φ = 24316685697024.

The previous prime is 82317185751511. The next prime is 82317185751517. The reversal of 82317185751516 is 61515758171328.

It is a super-2 number, since 2×82317185751516² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 82317185751516.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82317185751511) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 163319860 + ... + 163823108.

It is an arithmetic number, because the mean of its divisors is an integer number (1122982245000).

Almost surely, 2^{82317185751516} is an apocalyptic number.

82317185751516 is a gapful number since it is divisible by the number (86) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82317185751516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107806295520000).

82317185751516 is an abundant number, since it is smaller than the sum of its proper divisors (133295405288484).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

82317185751516 is a wasteful number, since it uses less digits than its factorization.

82317185751516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 503988 (or 503986 counting only the distinct ones).

The product of its digits is 14112000, while the sum is 60.

The spelling of 82317185751516 in words is "eighty-two trillion, three hundred seventeen billion, one hundred eighty-five million, seven hundred fifty-one thousand, five hundred sixteen".