1728580013 has 8 divisors (see below), whose sum is σ = 1734521400. Its totient is φ = 1722647808.

The previous prime is 1728579991. The next prime is 1728580039. The reversal of 1728580013 is 3100858271.

It can be written as a sum of positive squares in 4 ways, for example, as 545082409 + 1183497604 = 23347^2 + 34402^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-1728580013 is a prime.

It is a super-2 number, since 2×1728580013² = 5975977722686160338, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1728580313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 697745 + ... + 700217.

It is an arithmetic number, because the mean of its divisors is an integer number (216815175).

Almost surely, 2^1728580013 is an apocalyptic number.

It is an amenable number.

1728580013 is a deficient number, since it is larger than the sum of its proper divisors (5941387).

1728580013 is a wasteful number, since it uses less digits than its factorization.

1728580013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4591.

The product of its (nonzero) digits is 13440, while the sum is 35.

The square root of 1728580013 is about 41576.1952684466. The cubic root of 1728580013 is about 1200.1342472494.

The spelling of 1728580013 in words is "one billion, seven hundred twenty-eight million, five hundred eighty thousand, thirteen".