125013 has 8 divisors (see below), whose sum is σ = 190528. Its totient is φ = 71424.

The previous prime is 125003. The next prime is 125017. The reversal of 125013 is 310521.

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

It is not a de Polignac number, because 125013 - 2⁵ = 124981 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 125013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125017) 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, 2956 + ... + 2997.

It is an arithmetic number, because the mean of its divisors is an integer number (23816).

125013 is a Friedman number, since it can be written as 50^3+12+1, using all its digits and the basic arithmetic operations.

2¹²⁵⁰¹³ is an apocalyptic number.

It is an amenable number.

125013 is a deficient number, since it is larger than the sum of its proper divisors (65515).

125013 is an equidigital number, since it uses as much as digits as its factorization.

125013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5963.

The product of its (nonzero) digits is 30, while the sum is 12.

The square root of 125013 is about 353.5717748916. The cubic root of 125013 is about 50.0017332732.

Adding to 125013 its reverse (310521), we get a palindrome (435534).

The spelling of 125013 in words is "one hundred twenty-five thousand, thirteen".