1005056056010 has 32 divisors (see below), whose sum is σ = 1823018413392. Its totient is φ = 398936378880.

The previous prime is 1005056055953. The next prime is 1005056056073. The reversal of 1005056056010 is 106506505001.

It can be written as a sum of positive squares in 8 ways, for example, as 333438108481 + 671617947529 = 577441^2 + 819523^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 774164 + ... + 1615376.

Almost surely, 2^{1005056056010} is an apocalyptic number.

1005056056010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1005056056010 is a deficient number, since it is larger than the sum of its proper divisors (817962357382).

1005056056010 is a wasteful number, since it uses less digits than its factorization.

1005056056010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 842138.

The product of its (nonzero) digits is 4500, while the sum is 29.

The spelling of 1005056056010 in words is "one trillion, five billion, fifty-six million, fifty-six thousand, ten".