45513342225 has 72 divisors (see below), whose sum is σ = 92954409912. Its totient is φ = 21088512000.

The previous prime is 45513342223. The next prime is 45513342233. The reversal of 45513342225 is 52224331554.

45513342225 is a `hidden beast` number, since 45 + 51 + 3 + 342 + 225 = 666.

45513342225 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 12 ways, for example, as 13052834001 + 32460508224 = 114249^2 + 180168^2 .

It is not a de Polignac number, because 45513342225 - 2¹ = 45513342223 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 45513342225.

It is not an unprimeable number, because it can be changed into a prime (45513342221) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 407926 + ... + 507375.

It is an arithmetic number, because the mean of its divisors is an integer number (1291033471).

Almost surely, 2^45513342225 is an apocalyptic number.

45513342225 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

45513342225 is an abundant number, since it is smaller than the sum of its proper divisors (47441067687).

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

45513342225 is a wasteful number, since it uses less digits than its factorization.

45513342225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 915347 (or 915339 counting only the distinct ones).

The product of its digits is 144000, while the sum is 36.

Adding to 45513342225 its reverse (52224331554), we get a palindrome (97737673779).

The spelling of 45513342225 in words is "forty-five billion, five hundred thirteen million, three hundred forty-two thousand, two hundred twenty-five".