10133409 has 48 divisors (see below), whose sum is σ = 16865280. Its totient is φ = 5353920.

The previous prime is 10133399. The next prime is 10133413. The reversal of 10133409 is 90433101.

It is not a de Polignac number, because 10133409 - 2¹¹ = 10131361 is a prime.

It is a super-2 number, since 2×10133409² = 205371955922562, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10133609) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 128232 + ... + 128310.

It is an arithmetic number, because the mean of its divisors is an integer number (351360).

Almost surely, 2^10133409 is an apocalyptic number.

It is an amenable number.

10133409 is a deficient number, since it is larger than the sum of its proper divisors (6731871).

10133409 is a wasteful number, since it uses less digits than its factorization.

10133409 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 21.

The square root of 10133409 is about 3183.3015879743. The cubic root of 10133409 is about 216.3973097225.

The spelling of 10133409 in words is "ten million, one hundred thirty-three thousand, four hundred nine".