45252131204240 has 20 divisors (see below), whose sum is σ = 105211205050044. Its totient is φ = 18100852481664.

The previous prime is 45252131204213. The next prime is 45252131204261. The reversal of 45252131204240 is 4240213125254.

45252131204240 is digitally balanced in base 5, 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 5169911777536 + 40082219426704 = 2273744^2 + 6331052^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a self number, because there is not a number n which added to its sum of digits gives 45252131204240.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 282825819947 + ... + 282825820106.

Almost surely, 2^{45252131204240} is an apocalyptic number.

45252131204240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45252131204240 is an abundant number, since it is smaller than the sum of its proper divisors (59959073845804).

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

45252131204240 is a wasteful number, since it uses less digits than its factorization.

45252131204240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 565651640066 (or 565651640060 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 35.

Adding to 45252131204240 its reverse (4240213125254), we get a palindrome (49492344329494).

The spelling of 45252131204240 in words is "forty-five trillion, two hundred fifty-two billion, one hundred thirty-one million, two hundred four thousand, two hundred forty".