2520013 has 8 divisors (see below), whose sum is σ = 2633400. Its totient is φ = 2408448.

The previous prime is 2519981. The next prime is 2520017. The reversal of 2520013 is 3100252.

2520013 = 1122² + 1123².

It can be written as a sum of positive squares in 4 ways, for example, as 1444 + 2518569 = 38^2 + 1587^2 .

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 2520013 - 2⁵ = 2519981 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2519975 and 2520002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2520017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2893 + ... + 3661.

It is an arithmetic number, because the mean of its divisors is an integer number (329175).

2^2520013 is an apocalyptic number.

2520013 is the 1123-rd centered square number.

It is an amenable number.

2520013 is a deficient number, since it is larger than the sum of its proper divisors (113387).

2520013 is a wasteful number, since it uses less digits than its factorization.

2520013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 911.

The product of its (nonzero) digits is 60, while the sum is 13.

The square root of 2520013 is about 1587.4548812486. The cubic root of 2520013 is about 136.0820763218.

Adding to 2520013 its reverse (3100252), we get a palindrome (5620265).

It can be divided in two parts, 252001 and 3, that added together give a square (252004 = 502²).

The spelling of 2520013 in words is "two million, five hundred twenty thousand, thirteen".