52223311332225 has 576 divisors, whose sum is σ = 114046640547840. Its totient is φ = 22545647308800.

The previous prime is 52223311332197. The next prime is 52223311332251.

52223311332225 is a `hidden beast` number, since 5 + 2 + 2 + 2 + 3 + 311 + 332 + 2 + 2 + 5 = 666.

52223311332225 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 52223311332225 - 2¹⁴ = 52223311315841 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 52223311332225.

It is an unprimeable number.

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 575 ways as a sum of consecutive naturals, for example, 17684831349 + ... + 17684834301.

It is an arithmetic number, because the mean of its divisors is an integer number (197997639840).

Almost surely, 2^{52223311332225} is an apocalyptic number.

52223311332225 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

52223311332225 is an abundant number, since it is smaller than the sum of its proper divisors (61823329215615).

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

52223311332225 is a wasteful number, since it uses less digits than its factorization.

52223311332225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3302 (or 3294 counting only the distinct ones).

The product of its digits is 129600, while the sum is 36.

It can be divided in two parts, 5222331 and 1332225, that added together give a palindrome (6554556).

The spelling of 52223311332225 in words is "fifty-two trillion, two hundred twenty-three billion, three hundred eleven million, three hundred thirty-two thousand, two hundred twenty-five".