8413509 has 32 divisors (see below), whose sum is σ = 12862080. Its totient is φ = 4854528.

The previous prime is 8413499. The next prime is 8413511. The reversal of 8413509 is 9053148.

8413509 = 352² + 353² + ... + 409².

It is not a de Polignac number, because 8413509 - 2⁵ = 8413477 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8413519) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 48547 + ... + 48719.

It is an arithmetic number, because the mean of its divisors is an integer number (401940).

Almost surely, 2^8413509 is an apocalyptic number.

It is an amenable number.

8413509 is a deficient number, since it is larger than the sum of its proper divisors (4448571).

8413509 is a wasteful number, since it uses less digits than its factorization.

8413509 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 261.

The product of its (nonzero) digits is 4320, while the sum is 30.

The square root of 8413509 is about 2900.6049369054. The cubic root of 8413509 is about 203.3881852076.

The spelling of 8413509 in words is "eight million, four hundred thirteen thousand, five hundred nine".