2013505 has 8 divisors (see below), whose sum is σ = 2602152. Its totient is φ = 1486848.

The previous prime is 2013491. The next prime is 2013511. The reversal of 2013505 is 5053102.

2013505 = 143² + 144² + ... + 207².

It can be written as a sum of positive squares in 4 ways, for example, as 485809 + 1527696 = 697^2 + 1236^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 2013505 - 2⁷ = 2013377 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15424 + ... + 15553.

It is an arithmetic number, because the mean of its divisors is an integer number (325269).

2^2013505 is an apocalyptic number.

It is an amenable number.

2013505 is a deficient number, since it is larger than the sum of its proper divisors (588647).

2013505 is a wasteful number, since it uses less digits than its factorization.

2013505 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30995.

The product of its (nonzero) digits is 150, while the sum is 16.

The square root of 2013505 is about 1418.9802676570. The cubic root of 2013505 is about 126.2750562954.

Adding to 2013505 its reverse (5053102), we get a palindrome (7066607).

The spelling of 2013505 in words is "two million, thirteen thousand, five hundred five".