1728068515225 has 96 divisors (see below), whose sum is σ = 2367959378400. Its totient is φ = 1243135795200.

The previous prime is 1728068515211. The next prime is 1728068515259. The reversal of 1728068515225 is 5225158608271.

It is a happy number.

It can be written as a sum of positive squares in 48 ways, for example, as 1726396277776 + 1672237449 = 1313924^2 + 40893^2 .

It is not a de Polignac number, because 1728068515225 - 2¹¹ = 1728068513177 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2136054621 + ... + 2136055429.

It is an arithmetic number, because the mean of its divisors is an integer number (24666243525).

Almost surely, 2^{1728068515225} is an apocalyptic number.

It is an amenable number.

1728068515225 is a deficient number, since it is larger than the sum of its proper divisors (639890863175).

1728068515225 is a wasteful number, since it uses less digits than its factorization.

1728068515225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1615 (or 1610 counting only the distinct ones).

The product of its (nonzero) digits is 2688000, while the sum is 52.

The spelling of 1728068515225 in words is "one trillion, seven hundred twenty-eight billion, sixty-eight million, five hundred fifteen thousand, two hundred twenty-five".