1005120515064 has 32 divisors (see below), whose sum is σ = 2528217256320. Its totient is φ = 332984709216.

The previous prime is 1005120515059. The next prime is 1005120515093. The reversal of 1005120515064 is 4605150215001.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 128462412 + ... + 128470235.

It is an arithmetic number, because the mean of its divisors is an integer number (79006789260).

Almost surely, 2^{1005120515064} is an apocalyptic number.

It is an amenable number.

1005120515064 is an abundant number, since it is smaller than the sum of its proper divisors (1523096741256).

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

1005120515064 is a wasteful number, since it uses less digits than its factorization.

1005120515064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256932819 (or 256932815 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 30.

The spelling of 1005120515064 in words is "one trillion, five billion, one hundred twenty million, five hundred fifteen thousand, sixty-four".