364520064001 has 2 divisors, whose sum is σ = 364520064002. Its totient is φ = 364520064000.

The previous prime is 364520063981. The next prime is 364520064011. The reversal of 364520064001 is 100460025463.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 364361933376 + 158130625 = 603624^2 + 12575^2 .

It is a cyclic number.

It is not a de Polignac number, because 364520064001 - 2¹⁷ = 364519932929 is a prime.

It is a super-2 number, since 2×364520064001² (a number of 24 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (364520064011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 182260032000 + 182260032001.

It is an arithmetic number, because the mean of its divisors is an integer number (182260032001).

Almost surely, 2^364520064001 is an apocalyptic number.

It is an amenable number.

364520064001 is a deficient number, since it is larger than the sum of its proper divisors (1).

364520064001 is an equidigital number, since it uses as much as digits as its factorization.

364520064001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 17280, while the sum is 31.

Adding to 364520064001 its reverse (100460025463), we get a palindrome (464980089464).

The spelling of 364520064001 in words is "three hundred sixty-four billion, five hundred twenty million, sixty-four thousand, one".