82005625261516 has 48 divisors (see below), whose sum is σ = 163364154605568. Its totient is φ = 35654364345600.

The previous prime is 82005625261489. The next prime is 82005625261529. The reversal of 82005625261516 is 61516252650028.

82005625261516 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×82005625261516² (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 82005625261516.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 236617636 + ... + 236963956.

It is an arithmetic number, because the mean of its divisors is an integer number (3403419887616).

Almost surely, 2^{82005625261516} is an apocalyptic number.

It is an amenable number.

82005625261516 is a deficient number, since it is larger than the sum of its proper divisors (81358529344052).

82005625261516 is a wasteful number, since it uses less digits than its factorization.

82005625261516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 580342 (or 580340 counting only the distinct ones).

The product of its (nonzero) digits is 1728000, while the sum is 49.

The spelling of 82005625261516 in words is "eighty-two trillion, five billion, six hundred twenty-five million, two hundred sixty-one thousand, five hundred sixteen".