49509 has 6 divisors (see below), whose sum is σ = 71526. Its totient is φ = 33000.

The previous prime is 49499. The next prime is 49523. The reversal of 49509 is 90594.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 49284 + 225 = 222^2 + 15^2 .

It is not a de Polignac number, because 49509 - 2⁵ = 49477 is a prime.

It is a super-2 number, since 2×49509² = 4902282162, which contains 22 as substring.

It is a plaindrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49529) 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 5 ways as a sum of consecutive naturals, for example, 2742 + ... + 2759.

It is an arithmetic number, because the mean of its divisors is an integer number (11921).

2⁴⁹⁵⁰⁹ is an apocalyptic number.

It is an amenable number.

49509 is a deficient number, since it is larger than the sum of its proper divisors (22017).

49509 is a wasteful number, since it uses less digits than its factorization.

49509 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5507 (or 5504 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 27.

The square root of 49509 is about 222.5061796895. The cubic root of 49509 is about 36.7193274543.

The spelling of 49509 in words is "forty-nine thousand, five hundred nine".