1505051066116 has 192 divisors, whose sum is σ = 2968284211200. Its totient is φ = 663444587520.

The previous prime is 1505051066093. The next prime is 1505051066279. The reversal of 1505051066116 is 6116601505051.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6630180795 + ... + 6630181021.

It is an arithmetic number, because the mean of its divisors is an integer number (15459813600).

Almost surely, 2^{1505051066116} is an apocalyptic number.

It is an amenable number.

1505051066116 is a deficient number, since it is larger than the sum of its proper divisors (1463233145084).

1505051066116 is a wasteful number, since it uses less digits than its factorization.

1505051066116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 714 (or 712 counting only the distinct ones).

The product of its (nonzero) digits is 27000, while the sum is 37.

The spelling of 1505051066116 in words is "one trillion, five hundred five billion, fifty-one million, sixty-six thousand, one hundred sixteen".