82581105915 has 192 divisors, whose sum is σ = 184191501312. Its totient is φ = 33230131200.

The previous prime is 82581105877. The next prime is 82581105917. The reversal of 82581105915 is 51950118528.

It is a happy number.

82581105915 is a `hidden beast` number, since 8 + 2 + 58 + 1 + 1 + 0 + 591 + 5 = 666.

It is not a de Polignac number, because 82581105915 - 2⁹ = 82581105403 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (82581105917) by changing a digit.

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 191 ways as a sum of consecutive naturals, for example, 19460784 + ... + 19465026.

It is an arithmetic number, because the mean of its divisors is an integer number (959330736).

Almost surely, 2^82581105915 is an apocalyptic number.

82581105915 is an abundant number, since it is smaller than the sum of its proper divisors (101610395397).

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

82581105915 is a wasteful number, since it uses less digits than its factorization.

82581105915 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4450 (or 4447 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 45.

The spelling of 82581105915 in words is "eighty-two billion, five hundred eighty-one million, one hundred five thousand, nine hundred fifteen".