512242540379777 has 2 divisors, whose sum is σ = 512242540379778. Its totient is φ = 512242540379776.

The previous prime is 512242540379741. The next prime is 512242540379797. The reversal of 512242540379777 is 777973045242215.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 481527900737536 + 30714639642241 = 21943744^2 + 5542079^2 .

It is a cyclic number.

It is not a de Polignac number, because 512242540379777 - 2⁴⁸ = 230767563669121 is a prime.

It is not a weakly prime, because it can be changed into another prime (512242540379797) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 256121270189888 + 256121270189889.

It is an arithmetic number, because the mean of its divisors is an integer number (256121270189889).

Almost surely, 2^{512242540379777} is an apocalyptic number.

It is an amenable number.

512242540379777 is a deficient number, since it is larger than the sum of its proper divisors (1).

512242540379777 is an equidigital number, since it uses as much as digits as its factorization.

512242540379777 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 207446400, while the sum is 65.

The spelling of 512242540379777 in words is "five hundred twelve trillion, two hundred forty-two billion, five hundred forty million, three hundred seventy-nine thousand, seven hundred seventy-seven".