1006135785 has 24 divisors (see below), whose sum is σ = 1835758080. Its totient is φ = 508362912.

The previous prime is 1006135763. The next prime is 1006135787. The reversal of 1006135785 is 5875316001.

It is not a de Polignac number, because 1006135785 - 2¹³ = 1006127593 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1006135787) 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 23 ways as a sum of consecutive naturals, for example, 587529 + ... + 589238.

It is an arithmetic number, because the mean of its divisors is an integer number (76489920).

Almost surely, 2^1006135785 is an apocalyptic number.

1006135785 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1006135785 is a deficient number, since it is larger than the sum of its proper divisors (829622295).

1006135785 is a wasteful number, since it uses less digits than its factorization.

1006135785 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1176797 (or 1176794 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 36.

The square root of 1006135785 is about 31719.6435194345. The cubic root of 1006135785 is about 1002.0410927725.

The spelling of 1006135785 in words is "one billion, six million, one hundred thirty-five thousand, seven hundred eighty-five".