82517041152 has 672 divisors, whose sum is σ = 300555964800. Its totient is φ = 21676032000.

The previous prime is 82517041129. The next prime is 82517041157. The reversal of 82517041152 is 25114071528.

It is a happy number.

82517041152 is a `hidden beast` number, since 8 + 25 + 170 + 411 + 52 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×82517041152² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (82517041157) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 328753027 + ... + 328753277.

It is an arithmetic number, because the mean of its divisors is an integer number (447255900).

Almost surely, 2^82517041152 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82517041152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150277982400).

82517041152 is an abundant number, since it is smaller than the sum of its proper divisors (218038923648).

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

82517041152 is a wasteful number, since it uses less digits than its factorization.

82517041152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 317 (or 276 counting only the distinct ones).

The product of its (nonzero) digits is 22400, while the sum is 36.

The spelling of 82517041152 in words is "eighty-two billion, five hundred seventeen million, forty-one thousand, one hundred fifty-two".