52205311350225 has 144 divisors (see below), whose sum is σ = 103170316766400. Its totient is φ = 25022857728000.

The previous prime is 52205311350221. The next prime is 52205311350233.

52205311350225 is a `hidden beast` number, since 5 + 2 + 20 + 53 + 11 + 350 + 225 = 666.

52205311350225 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 52205311350225 - 2² = 52205311350221 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 52205311350225.

It is not an unprimeable number, because it can be changed into a prime (52205311350221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1493226745 + ... + 1493261705.

It is an arithmetic number, because the mean of its divisors is an integer number (716460533100).

Almost surely, 2^{52205311350225} is an apocalyptic number.

52205311350225 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

52205311350225 is a deficient number, since it is larger than the sum of its proper divisors (50965005416175).

52205311350225 is a wasteful number, since it uses less digits than its factorization.

52205311350225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41856 (or 41848 counting only the distinct ones).

The product of its (nonzero) digits is 90000, while the sum is 36.

It can be divided in two parts, 5220531 and 1350225, that added together give a palindrome (6570756).

The spelling of 52205311350225 in words is "fifty-two trillion, two hundred five billion, three hundred eleven million, three hundred fifty thousand, two hundred twenty-five".