512381217617 has 2 divisors, whose sum is σ = 512381217618. Its totient is φ = 512381217616.

The previous prime is 512381217599. The next prime is 512381217631. The reversal of 512381217617 is 716712183215.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 455019051601 + 57362166016 = 674551^2 + 239504^2 .

It is a cyclic number.

It is not a de Polignac number, because 512381217617 - 2¹⁸ = 512380955473 is a prime.

It is a super-2 number, since 2×512381217617² (a number of 24 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (512381210617) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 256190608808 + 256190608809.

It is an arithmetic number, because the mean of its divisors is an integer number (256190608809).

Almost surely, 2^512381217617 is an apocalyptic number.

It is an amenable number.

512381217617 is a deficient number, since it is larger than the sum of its proper divisors (1).

512381217617 is an equidigital number, since it uses as much as digits as its factorization.

512381217617 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 141120, while the sum is 44.

The spelling of 512381217617 in words is "five hundred twelve billion, three hundred eighty-one million, two hundred seventeen thousand, six hundred seventeen".