20001596329 has 81 divisors (see below), whose sum is σ = 25478771031. Its totient is φ = 15681425760.

The previous prime is 20001596299. The next prime is 20001596357. The reversal of 20001596329 is 92369510002.

The square root of 20001596329 is 141427.

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., 2958816025 + 17042780304 = 54395^2 + 130548^2 .

It is not a de Polignac number, because 20001596329 - 2⁵ = 20001596297 is a prime.

It is a super-3 number, since 3×20001596329³ (a number of 32 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (20001596389) 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 80 ways as a sum of consecutive naturals, for example, 465153382 + ... + 465153424.

Almost surely, 2^20001596329 is an apocalyptic number.

20001596329 is the 141427-th square number.

20001596329 is the 70714-th centered octagonal number.

It is an amenable number.

20001596329 is a deficient number, since it is larger than the sum of its proper divisors (5477174702).

20001596329 is a wasteful number, since it uses less digits than its factorization.

20001596329 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 37.

The spelling of 20001596329 in words is "twenty billion, one million, five hundred ninety-six thousand, three hundred twenty-nine".