50013 has 6 divisors (see below), whose sum is σ = 72254. Its totient is φ = 33336.

The previous prime is 49999. The next prime is 50021. The reversal of 50013 is 31005.

It can be written as a sum of positive squares in only one way, i.e., 49284 + 729 = 222^2 + 27^2 .

It is not a de Polignac number, because 50013 - 2⁸ = 49757 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9), and also a Moran number because the ratio is a prime number: 5557 = 50013 / (5 + 0 + 0 + 1 + 3).

It is a Duffinian number.

It is a nialpdrome in base 9 and base 15.

It is a junction number, because it is equal to n+sod(n) for n = 49977 and 50004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (50023) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2770 + ... + 2787.

2⁵⁰⁰¹³ is an apocalyptic number.

It is an amenable number.

50013 is a deficient number, since it is larger than the sum of its proper divisors (22241).

50013 is a wasteful number, since it uses less digits than its factorization.

50013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5563 (or 5560 counting only the distinct ones).

The product of its (nonzero) digits is 15, while the sum is 9.

The square root of 50013 is about 223.6358647445. The cubic root of 50013 is about 36.8435075370.

Adding to 50013 its reverse (31005), we get a palindrome (81018).

The spelling of 50013 in words is "fifty thousand, thirteen".