6412509 has 24 divisors (see below), whose sum is σ = 9734400. Its totient is φ = 4062240.

The previous prime is 6412499. The next prime is 6412531. The reversal of 6412509 is 9052146.

It is not a de Polignac number, because 6412509 - 2⁴ = 6412493 is a prime.

It is a super-2 number, since 2×6412509² = 82240543350162, which contains 22 as substring.

6412509 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6412589) 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 23 ways as a sum of consecutive naturals, for example, 20464 + ... + 20774.

It is an arithmetic number, because the mean of its divisors is an integer number (405600).

Almost surely, 2^6412509 is an apocalyptic number.

It is an amenable number.

6412509 is a deficient number, since it is larger than the sum of its proper divisors (3321891).

6412509 is a wasteful number, since it uses less digits than its factorization.

6412509 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 425 (or 422 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 6412509 is about 2532.2932294661. The cubic root of 6412509 is about 185.7844363611.

The spelling of 6412509 in words is "six million, four hundred twelve thousand, five hundred nine".