1728068515757 has 2 divisors, whose sum is σ = 1728068515758. Its totient is φ = 1728068515756.

The previous prime is 1728068515729. The next prime is 1728068515759. The reversal of 1728068515757 is 7575158608271.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1047697592041 + 680370923716 = 1023571^2 + 824846^2 .

It is a cyclic number.

It is not a de Polignac number, because 1728068515757 - 2²² = 1728064321453 is a prime.

Together with 1728068515759, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 1728068515757.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1728068515759) 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, 864034257878 + 864034257879.

It is an arithmetic number, because the mean of its divisors is an integer number (864034257879).

Almost surely, 2^{1728068515757} is an apocalyptic number.

It is an amenable number.

1728068515757 is a deficient number, since it is larger than the sum of its proper divisors (1).

1728068515757 is an equidigital number, since it uses as much as digits as its factorization.

1728068515757 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 32928000, while the sum is 62.

The spelling of 1728068515757 in words is "one trillion, seven hundred twenty-eight billion, sixty-eight million, five hundred fifteen thousand, seven hundred fifty-seven".