564206521500077 has 2 divisors, whose sum is σ = 564206521500078. Its totient is φ = 564206521500076.

The previous prime is 564206521500029. The next prime is 564206521500079. The reversal of 564206521500077 is 770005125602465.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 463007367971236 + 101199153528841 = 21517606^2 + 10059779^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-564206521500077 is a prime.

It is a super-2 number, since 2×564206521500077² (a number of 30 digits) contains 22 as substring.

Together with 564206521500079, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 564206521499998 and 564206521500034.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (564206521500079) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 282103260750038 + 282103260750039.

It is an arithmetic number, because the mean of its divisors is an integer number (282103260750039).

Almost surely, 2^{564206521500077} is an apocalyptic number.

It is an amenable number.

564206521500077 is a deficient number, since it is larger than the sum of its proper divisors (1).

564206521500077 is an equidigital number, since it uses as much as digits as its factorization.

564206521500077 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 3528000, while the sum is 50.

The spelling of 564206521500077 in words is "five hundred sixty-four trillion, two hundred six billion, five hundred twenty-one million, five hundred thousand, seventy-seven".