252414113413 has 36 divisors (see below), whose sum is σ = 327166090860. Its totient is φ = 193991656320.

The previous prime is 252414113411. The next prime is 252414113449. The reversal of 252414113413 is 314311414252.

It is a happy number.

252414113413 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 76243358884 + 176170754529 = 276122^2 + 419727^2 .

It is not a de Polignac number, because 252414113413 - 2¹ = 252414113411 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252414113411) 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 35 ways as a sum of consecutive naturals, for example, 141223 + ... + 724411.

Almost surely, 2^252414113413 is an apocalyptic number.

It is an amenable number.

252414113413 is a deficient number, since it is larger than the sum of its proper divisors (74751977447).

252414113413 is a wasteful number, since it uses less digits than its factorization.

252414113413 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 583298 (or 583280 counting only the distinct ones).

The product of its digits is 11520, while the sum is 31.

Adding to 252414113413 its reverse (314311414252), we get a palindrome (566725527665).

The spelling of 252414113413 in words is "two hundred fifty-two billion, four hundred fourteen million, one hundred thirteen thousand, four hundred thirteen".