5200520013 has 54 divisors (see below), whose sum is σ = 8302603946. Its totient is φ = 3118235904.

The previous prime is 5200520011. The next prime is 5200520021. The reversal of 5200520013 is 3100250025.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 1003812489 + 4196707524 = 31683^2 + 64782^2 .

It is not a de Polignac number, because 5200520013 - 2¹ = 5200520011 is a prime.

It is a super-2 number, since 2×5200520013² = 54090816811227040338, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5200520011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 46022245 + ... + 46022357.

Almost surely, 2^5200520013 is an apocalyptic number.

It is an amenable number.

5200520013 is a deficient number, since it is larger than the sum of its proper divisors (3102083933).

5200520013 is a wasteful number, since it uses less digits than its factorization.

5200520013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 363 (or 188 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 18.

The square root of 5200520013 is about 72114.6310605552. The cubic root of 5200520013 is about 1732.5359594743.

Adding to 5200520013 its reverse (3100250025), we get a palindrome (8300770038).

The spelling of 5200520013 in words is "five billion, two hundred million, five hundred twenty thousand, thirteen".