5252400013 has 24 divisors (see below), whose sum is σ = 6158770200. Its totient is φ = 4466222208.

The previous prime is 5252400007. The next prime is 5252400073. The reversal of 5252400013 is 3100042525.

It can be written as a sum of positive squares in 4 ways, for example, as 3053446564 + 2198953449 = 55258^2 + 46893^2 .

It is not a de Polignac number, because 5252400013 - 2⁵ = 5252399981 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5252400073) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4912843 + ... + 4913911.

It is an arithmetic number, because the mean of its divisors is an integer number (256615425).

Almost surely, 2^5252400013 is an apocalyptic number.

It is an amenable number.

5252400013 is a deficient number, since it is larger than the sum of its proper divisors (906370187).

5252400013 is a wasteful number, since it uses less digits than its factorization.

5252400013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1789 (or 1782 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 22.

The square root of 5252400013 is about 72473.4435017407. The cubic root of 5252400013 is about 1738.2781236563.

Adding to 5252400013 its reverse (3100042525), we get a palindrome (8352442538).

The spelling of 5252400013 in words is "five billion, two hundred fifty-two million, four hundred thousand, thirteen".