254013 has 8 divisors (see below), whose sum is σ = 341088. Its totient is φ = 168144.

The previous prime is 254003. The next prime is 254021. The reversal of 254013 is 310452.

254013 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

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

It is not a de Polignac number, because 254013 - 2⁶ = 253949 is a prime.

254013 is strictly pandigital in base 7.

It is a junction number, because it is equal to n+sod(n) for n = 253983 and 254001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (254003) 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, 495 + ... + 867.

It is an arithmetic number, because the mean of its divisors is an integer number (42636).

254013 is a Friedman number, since it can be written as (504*1)^2-3, using all its digits and the basic arithmetic operations.

2²⁵⁴⁰¹³ is an apocalyptic number.

It is an amenable number.

254013 is a deficient number, since it is larger than the sum of its proper divisors (87075).

254013 is a wasteful number, since it uses less digits than its factorization.

254013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 603.

The product of its (nonzero) digits is 120, while the sum is 15.

The square root of 254013 is about 503.9970238007. The cubic root of 254013 is about 63.3313357326.

Adding to 254013 its reverse (310452), we get a palindrome (564465).

The spelling of 254013 in words is "two hundred fifty-four thousand, thirteen".