254509 has 4 divisors (see below), whose sum is σ = 256480. Its totient is φ = 252540.

The previous prime is 254491. The next prime is 254519. The reversal of 254509 is 905452.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 254509 - 2¹³ = 246317 is a prime.

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

It is a Duffinian number.

254509 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (254519) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 777 + ... + 1054.

It is an arithmetic number, because the mean of its divisors is an integer number (64120).

2²⁵⁴⁵⁰⁹ is an apocalyptic number.

It is an amenable number.

254509 is a deficient number, since it is larger than the sum of its proper divisors (1971).

254509 is a wasteful number, since it uses less digits than its factorization.

254509 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1970.

The product of its (nonzero) digits is 1800, while the sum is 25.

The square root of 254509 is about 504.4888502237. The cubic root of 254509 is about 63.3725303681.

It can be divided in two parts, 254 and 509, that multiplied together give a triangular number (129286 = T₅₀₈).

The spelling of 254509 in words is "two hundred fifty-four thousand, five hundred nine".