512020205641601 has 2 divisors, whose sum is σ = 512020205641602. Its totient is φ = 512020205641600.

The previous prime is 512020205641591. The next prime is 512020205641673. The reversal of 512020205641601 is 106146502020215.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 350715473305201 + 161304732336400 = 18727399^2 + 12700580^2 .

It is a cyclic number.

It is not a de Polignac number, because 512020205641601 - 2¹⁴ = 512020205625217 is a prime.

It is not a weakly prime, because it can be changed into another prime (512020205691601) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 256010102820800 + 256010102820801.

It is an arithmetic number, because the mean of its divisors is an integer number (256010102820801).

Almost surely, 2^{512020205641601} is an apocalyptic number.

It is an amenable number.

512020205641601 is a deficient number, since it is larger than the sum of its proper divisors (1).

512020205641601 is an equidigital number, since it uses as much as digits as its factorization.

512020205641601 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 28800, while the sum is 35.

Adding to 512020205641601 its reverse (106146502020215), we get a palindrome (618166707661816).

The spelling of 512020205641601 in words is "five hundred twelve trillion, twenty billion, two hundred five million, six hundred forty-one thousand, six hundred one".