20305965001 has 9 divisors (see below), whose sum is σ = 23622384999. Its totient is φ = 17404257864.

The previous prime is 20305964977. The next prime is 20305965007. The reversal of 20305965001 is 10056950302.

The square root of 20305965001 is 142499.

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., 11855943225 + 8450021776 = 108885^2 + 91924^2 .

It is not a de Polignac number, because 20305965001 - 2⁷ = 20305964873 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (20305965007) 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, 987315 + ... + 1007671.

Almost surely, 2^20305965001 is an apocalyptic number.

20305965001 is the 142499-th square number.

20305965001 is the 71250-th centered octagonal number.

It is an amenable number.

20305965001 is a deficient number, since it is larger than the sum of its proper divisors (3316419998).

20305965001 is an frugal number, since it uses more digits than its factorization.

20305965001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40728 (or 20364 counting only the distinct ones).

The product of its (nonzero) digits is 8100, while the sum is 31.

Multiplying 20305965001 by its product of nonzero digits (8100), we get a square (164478316508100 = 12824910²).

The spelling of 20305965001 in words is "twenty billion, three hundred five million, nine hundred sixty-five thousand, one".