1006551756838 has 16 divisors (see below), whose sum is σ = 1511989262784. Its totient is φ = 502555648320.

The previous prime is 1006551756829. The next prime is 1006551756877. The reversal of 1006551756838 is 8386571556001.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 6569443 + ... + 6720913.

It is an arithmetic number, because the mean of its divisors is an integer number (94499328924).

Almost surely, 2^{1006551756838} is an apocalyptic number.

1006551756838 is a deficient number, since it is larger than the sum of its proper divisors (505437505946).

1006551756838 is a wasteful number, since it uses less digits than its factorization.

1006551756838 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156207.

The product of its (nonzero) digits is 6048000, while the sum is 55.

The spelling of 1006551756838 in words is "one trillion, six billion, five hundred fifty-one million, seven hundred fifty-six thousand, eight hundred thirty-eight".