20503445093329 has 27 divisors (see below), whose sum is σ = 22928585578171. Its totient is φ = 18320945603840.

The previous prime is 20503445093317. The next prime is 20503445093441. The reversal of 20503445093329 is 92339054430502.

The square root of 20503445093329 is 4528073.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 4060809371025 + 16442635722304 = 2015145^2 + 4054952^2 .

It is not a de Polignac number, because 20503445093329 - 2¹⁷ = 20503444962257 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (20503445093129) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 2938715889 + ... + 2938722865.

Almost surely, 2^{20503445093329} is an apocalyptic number.

20503445093329 is the 4528073-rd square number.

20503445093329 is the 2264037-th centered octagonal number.

It is an amenable number.

20503445093329 is a deficient number, since it is larger than the sum of its proper divisors (2425140484842).

20503445093329 is an frugal number, since it uses more digits than its factorization.

20503445093329 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14094 (or 7047 counting only the distinct ones).

The product of its (nonzero) digits is 3499200, while the sum is 49.

The spelling of 20503445093329 in words is "twenty trillion, five hundred three billion, four hundred forty-five million, ninety-three thousand, three hundred twenty-nine".