4006509 has 16 divisors (see below), whose sum is σ = 6092352. Its totient is φ = 2320128.

The previous prime is 4006489. The next prime is 4006517. The reversal of 4006509 is 9056004.

It is not a de Polignac number, because 4006509 - 2⁵ = 4006477 is a prime.

It is a super-2 number, since 2×4006509² = 32104228734162, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4006529) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2359 + ... + 3684.

It is an arithmetic number, because the mean of its divisors is an integer number (380772).

Almost surely, 2^4006509 is an apocalyptic number.

It is an amenable number.

4006509 is a deficient number, since it is larger than the sum of its proper divisors (2085843).

4006509 is a wasteful number, since it uses less digits than its factorization.

4006509 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6076.

The product of its (nonzero) digits is 1080, while the sum is 24.

The square root of 4006509 is about 2001.6265885524. The cubic root of 4006509 is about 158.8261618139.

The spelling of 4006509 in words is "four million, six thousand, five hundred nine".