10016573020609 has 9 divisors (see below), whose sum is σ = 10028033546601. Its totient is φ = 10005125588160.

The previous prime is 10016573020579. The next prime is 10016573020613. The reversal of 10016573020609 is 90602037561001.

The square root of 10016573020609 is 3164897.

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

It can be written as a sum of positive squares in 4 ways, for example, as 3601132452225 + 6415440568384 = 1897665^2 + 2532872^2 .

It is not a de Polignac number, because 10016573020609 - 2³¹ = 10014425536961 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10016573020109) 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, 4687211389 + ... + 4687213525.

Almost surely, 2^{10016573020609} is an apocalyptic number.

10016573020609 is the 3164897-th square number.

10016573020609 is the 1582449-th centered octagonal number.

It is an amenable number.

10016573020609 is a deficient number, since it is larger than the sum of its proper divisors (11460525992).

10016573020609 is an frugal number, since it uses more digits than its factorization.

10016573020609 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7236 (or 3618 counting only the distinct ones).

The product of its (nonzero) digits is 68040, while the sum is 40.

The spelling of 10016573020609 in words is "ten trillion, sixteen billion, five hundred seventy-three million, twenty thousand, six hundred nine".