54509 has 8 divisors (see below), whose sum is σ = 67200. Its totient is φ = 43056.

The previous prime is 54503. The next prime is 54517. The reversal of 54509 is 90545.

54509 = T₈₅ + T₈₆ + ... + T₉₇.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 54509 - 2⁴ = 54493 is a prime.

It is an alternating number because its digits alternate between odd and even.

It is a plaindrome in base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54503) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 209 + ... + 390.

It is an arithmetic number, because the mean of its divisors is an integer number (8400).

2⁵⁴⁵⁰⁹ is an apocalyptic number.

It is an amenable number.

54509 is a deficient number, since it is larger than the sum of its proper divisors (12691).

54509 is a wasteful number, since it uses less digits than its factorization.

54509 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 619.

The product of its (nonzero) digits is 900, while the sum is 23.

The square root of 54509 is about 233.4716256850. The cubic root of 54509 is about 37.9160195250.

The spelling of 54509 in words is "fifty-four thousand, five hundred nine".