1006873335 has 120 divisors (see below), whose sum is σ = 2018570400. Its totient is φ = 477290880.

The previous prime is 1006873313. The next prime is 1006873349. The reversal of 1006873335 is 5333786001.

It is not a de Polignac number, because 1006873335 - 2⁵ = 1006873303 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 1006873335.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 5059566 + ... + 5059764.

It is an arithmetic number, because the mean of its divisors is an integer number (16821420).

Almost surely, 2^1006873335 is an apocalyptic number.

1006873335 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

1006873335 is an abundant number, since it is smaller than the sum of its proper divisors (1011697065).

1006873335 is a wasteful number, since it uses less digits than its factorization.

1006873335 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 291 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 1006873335 is about 31731.2674660184. The cubic root of 1006873335 is about 1002.2858824268.

The spelling of 1006873335 in words is "one billion, six million, eight hundred seventy-three thousand, three hundred thirty-five".