1005071671516 has 48 divisors (see below), whose sum is σ = 1934948518272. Its totient is φ = 453005009600.

The previous prime is 1005071671511. The next prime is 1005071671517. The reversal of 1005071671516 is 6151761705001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1005071671511) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7292355 + ... + 7428901.

It is an arithmetic number, because the mean of its divisors is an integer number (40311427464).

Almost surely, 2^{1005071671516} is an apocalyptic number.

It is an amenable number.

1005071671516 is a deficient number, since it is larger than the sum of its proper divisors (929876846756).

1005071671516 is a wasteful number, since it uses less digits than its factorization.

1005071671516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137970 (or 137968 counting only the distinct ones).

The product of its (nonzero) digits is 44100, while the sum is 40.

The spelling of 1005071671516 in words is "one trillion, five billion, seventy-one million, six hundred seventy-one thousand, five hundred sixteen".