82511916130449 has 81 divisors (see below), whose sum is σ = 130573366676883. Its totient is φ = 50186856006144.

The previous prime is 82511916130417. The next prime is 82511916130463. The reversal of 82511916130449 is 94403161911528.

The square root of 82511916130449 is 9083607.

It is a perfect power (a square), and thus also a powerful number.

82511916130449 is a `hidden beast` number, since 8 + 2 + 5 + 1 + 1 + 9 + 161 + 30 + 449 = 666.

It can be written as a sum of positive squares in 13 ways, for example, as 48930122930049 + 33581793200400 = 6995007^2 + 5794980^2 .

It is not a de Polignac number, because 82511916130449 - 2⁵ = 82511916130417 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 82511916130395 and 82511916130404.

It is not an unprimeable number, because it can be changed into a prime (82511916130409) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 31529198589 + ... + 31529201205.

Almost surely, 2^{82511916130449} is an apocalyptic number.

82511916130449 is a gapful number since it is divisible by the number (89) formed by its first and last digit.

82511916130449 is the 9083607-th square number.

82511916130449 is the 4541804-th centered octagonal number.

It is an amenable number.

82511916130449 is a deficient number, since it is larger than the sum of its proper divisors (48061450546434).

82511916130449 is an frugal number, since it uses more digits than its factorization.

82511916130449 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5444 (or 2722 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 54.

The spelling of 82511916130449 in words is "eighty-two trillion, five hundred eleven billion, nine hundred sixteen million, one hundred thirty thousand, four hundred forty-nine".