5413242525200 has 120 divisors (see below), whose sum is σ = 13042583945160. Its totient is φ = 2159095910400.

The previous prime is 5413242525167. The next prime is 5413242525209. The reversal of 5413242525200 is 25252423145.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 1568145089536 + 3845097435664 = 1252256^2 + 1960892^2 .

It is not an unprimeable number, because it can be changed into a prime (5413242525209) 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, 806859446 + ... + 806866154.

It is an arithmetic number, because the mean of its divisors is an integer number (108688199543).

Almost surely, 2^{5413242525200} is an apocalyptic number.

5413242525200 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5413242525200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6521291972580).

5413242525200 is an abundant number, since it is smaller than the sum of its proper divisors (7629341419960).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

5413242525200 is a wasteful number, since it uses less digits than its factorization.

5413242525200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12205 (or 12194 counting only the distinct ones).

The product of its (nonzero) digits is 96000, while the sum is 35.

Adding to 5413242525200 its reverse (25252423145), we get a palindrome (5438494948345).

The spelling of 5413242525200 in words is "five trillion, four hundred thirteen billion, two hundred forty-two million, five hundred twenty-five thousand, two hundred".