1006268028685 has 16 divisors (see below), whose sum is σ = 1211641619760. Its totient is φ = 802270402560.

The previous prime is 1006268028617. The next prime is 1006268028697. The reversal of 1006268028685 is 5868208626001.

It can be written as a sum of positive squares in 8 ways, for example, as 189491313636 + 816776715049 = 435306^2 + 903757^2 .

It is not a de Polignac number, because 1006268028685 - 2¹⁵ = 1006267995917 is a prime.

It is a congruent number.

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, 2909131 + ... + 3236599.

It is an arithmetic number, because the mean of its divisors is an integer number (75727601235).

Almost surely, 2^{1006268028685} is an apocalyptic number.

It is an amenable number.

1006268028685 is a deficient number, since it is larger than the sum of its proper divisors (205373591075).

1006268028685 is a wasteful number, since it uses less digits than its factorization.

1006268028685 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 329568.

The product of its (nonzero) digits is 2211840, while the sum is 52.

The spelling of 1006268028685 in words is "one trillion, six billion, two hundred sixty-eight million, twenty-eight thousand, six hundred eighty-five".