1006115435087 has 12 divisors (see below), whose sum is σ = 1170758978856. Its totient is φ = 862104806640.

The previous prime is 1006115435063. The next prime is 1006115435123. The reversal of 1006115435087 is 7805345116001.

It is not a de Polignac number, because 1006115435087 - 2¹⁶ = 1006115369551 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1006115435057) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 3178964 + ... + 3481097.

It is an arithmetic number, because the mean of its divisors is an integer number (97563248238).

Almost surely, 2^{1006115435087} is an apocalyptic number.

1006115435087 is a deficient number, since it is larger than the sum of its proper divisors (164643543769).

1006115435087 is an equidigital number, since it uses as much as digits as its factorization.

1006115435087 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6663158 (or 6663151 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 41.

The spelling of 1006115435087 in words is "one trillion, six billion, one hundred fifteen million, four hundred thirty-five thousand, eighty-seven".