82584051521 has 8 divisors (see below), whose sum is σ = 84026569320. Its totient is φ = 81149945472.

The previous prime is 82584051481. The next prime is 82584051523. The reversal of 82584051521 is 12515048528.

It can be written as a sum of positive squares in 4 ways, for example, as 16900000000 + 65684051521 = 130000^2 + 256289^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-82584051521 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (82584051523) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2083130 + ... + 2122403.

It is an arithmetic number, because the mean of its divisors is an integer number (10503321165).

Almost surely, 2^82584051521 is an apocalyptic number.

It is an amenable number.

82584051521 is a deficient number, since it is larger than the sum of its proper divisors (1442517799).

82584051521 is a wasteful number, since it uses less digits than its factorization.

82584051521 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4205875.

The product of its (nonzero) digits is 128000, while the sum is 41.

The spelling of 82584051521 in words is "eighty-two billion, five hundred eighty-four million, fifty-one thousand, five hundred twenty-one".