1005402133 has 4 divisors (see below), whose sum is σ = 1005475360. Its totient is φ = 1005328908.

The previous prime is 1005402127. The next prime is 1005402149. The reversal of 1005402133 is 3312045001.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4, and also a brilliant number, because the two primes have the same length.

It is a 3-Lehmer number, since φ(1005402133) divides (1005402133-1)³.

It is a cyclic number.

It is not a de Polignac number, because 1005402133 - 2¹⁷ = 1005271061 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1005402133.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1005402173) 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 3 ways as a sum of consecutive naturals, for example, 9153 + ... + 45766.

It is an arithmetic number, because the mean of its divisors is an integer number (251368840).

It is a Poulet number, since it divides 2^1005402132-1.

Almost surely, 2^1005402133 is an apocalyptic number.

1005402133 is the 18307-th octagonal number.

It is an amenable number.

1005402133 is a deficient number, since it is larger than the sum of its proper divisors (73227).

1005402133 is an equidigital number, since it uses as much as digits as its factorization.

1005402133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73226.

The product of its (nonzero) digits is 360, while the sum is 19.

The square root of 1005402133 is about 31708.0767786380. The cubic root of 1005402133 is about 1001.7974781365.

Adding to 1005402133 its reverse (3312045001), we get a palindrome (4317447134).

The spelling of 1005402133 in words is "one billion, five million, four hundred two thousand, one hundred thirty-three".