20307105009 has 9 divisors (see below), whose sum is σ = 29333102539. Its totient is φ = 13537785000.

The previous prime is 20307104969. The next prime is 20307105011. The reversal of 20307105009 is 90050170302.

The square root of 20307105009 is 142503.

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., 12022464609 + 8284640400 = 109647^2 + 91020^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is a de Polignac number, because none of the positive numbers 2^k-20307105009 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (20307105079) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 403759 + ... + 451259.

Almost surely, 2^20307105009 is an apocalyptic number.

20307105009 is the 142503-rd square number.

20307105009 is the 71252-nd centered octagonal number.

It is an amenable number.

20307105009 is a deficient number, since it is larger than the sum of its proper divisors (9025997530).

20307105009 is an frugal number, since it uses more digits than its factorization.

20307105009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95008 (or 47504 counting only the distinct ones).

The product of its (nonzero) digits is 1890, while the sum is 27.

It can be divided in two parts, 20307 and 105009, that added together give a square (125316 = 354²).

The spelling of 20307105009 in words is "twenty billion, three hundred seven million, one hundred five thousand, nine".