52220322302225 has 192 divisors, whose sum is σ = 81946444234752. Its totient is φ = 32067487872000.

The previous prime is 52220322302201. The next prime is 52220322302329.

It is a happy number.

52220322302225 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 52220322302225 - 2²⁰ = 52220321253649 is a prime.

It is a super-2 number, since 2×52220322302225² (a number of 28 digits) contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 52220322302191 and 52220322302200.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 21932095535 + ... + 21932097915.

It is an arithmetic number, because the mean of its divisors is an integer number (426804397056).

Almost surely, 2^{52220322302225} is an apocalyptic number.

52220322302225 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

52220322302225 is a deficient number, since it is larger than the sum of its proper divisors (29726121932527).

52220322302225 is a wasteful number, since it uses less digits than its factorization.

52220322302225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3136 (or 3131 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 32.

It can be divided in two parts, 5222032 and 2302225, that added together give a palindrome (7524257).

The spelling of 52220322302225 in words is "fifty-two trillion, two hundred twenty billion, three hundred twenty-two million, three hundred two thousand, two hundred twenty-five".