1008133407 has 12 divisors (see below), whose sum is σ = 1532834680. Its totient is φ = 636715728.

The previous prime is 1008133393. The next prime is 1008133411. The reversal of 1008133407 is 7043318001.

It is not a de Polignac number, because 1008133407 - 2¹⁶ = 1008067871 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 (1008133207) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 2947588 + ... + 2947929.

Almost surely, 2^1008133407 is an apocalyptic number.

1008133407 is a deficient number, since it is larger than the sum of its proper divisors (524701273).

1008133407 is a wasteful number, since it uses less digits than its factorization.

1008133407 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5895542 (or 5895539 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 1008133407 is about 31751.1166260338. The cubic root of 1008133407 is about 1002.7038184436.

The spelling of 1008133407 in words is "one billion, eight million, one hundred thirty-three thousand, four hundred seven".