16575084705001 has 9 divisors (see below), whose sum is σ = 16678063928631. Its totient is φ = 16472737526112.

The previous prime is 16575084704987. The next prime is 16575084705037. The reversal of 16575084705001 is 10050748057561.

It is a happy number.

The square root of 16575084705001 is 4071251.

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., 297281205225 + 16277803499776 = 545235^2 + 4034576^2 .

It is a de Polignac number, because none of the positive numbers 2^k-16575084705001 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (16575084705061) 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, 663601425 + ... + 663626401.

Almost surely, 2^{16575084705001} is an apocalyptic number.

16575084705001 is the 4071251-st square number.

16575084705001 is the 2035626-th centered octagonal number.

It is an amenable number.

16575084705001 is a deficient number, since it is larger than the sum of its proper divisors (102979223630).

16575084705001 is an frugal number, since it uses more digits than its factorization.

16575084705001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50280 (or 25140 counting only the distinct ones).

The product of its (nonzero) digits is 1176000, while the sum is 49.

Multiplying 16575084705001 by its sum of digits (49), we get a square (812179150545049 = 28498757²).

The spelling of 16575084705001 in words is "sixteen trillion, five hundred seventy-five billion, eighty-four million, seven hundred five thousand, one".