564325353466361 has 8 divisors (see below), whose sum is σ = 597757979977704. Its totient is φ = 530919062231040.

The previous prime is 564325353466313. The next prime is 564325353466439. The reversal of 564325353466361 is 163664353523465.

It can be written as a sum of positive squares in 4 ways, for example, as 26076955033600 + 538248398432761 = 5106560^2 + 23200181^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-564325353466361 is a prime.

It is a super-3 number, since 3×564325353466361³ (a number of 45 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 564325353466294 and 564325353466303.

It is not an unprimeable number, because it can be changed into a prime (564325353466261) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6583774880 + ... + 6583860593.

It is an arithmetic number, because the mean of its divisors is an integer number (74719747497213).

Almost surely, 2^{564325353466361} is an apocalyptic number.

It is an amenable number.

564325353466361 is a deficient number, since it is larger than the sum of its proper divisors (33432626511343).

564325353466361 is a wasteful number, since it uses less digits than its factorization.

564325353466361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13167638011.

The product of its digits is 419904000, while the sum is 62.

The spelling of 564325353466361 in words is "five hundred sixty-four trillion, three hundred twenty-five billion, three hundred fifty-three million, four hundred sixty-six thousand, three hundred sixty-one".