996205606201 has 9 divisors (see below), whose sum is σ = 1078745564781. Its totient is φ = 919562428512.

The previous prime is 996205606181. The next prime is 996205606219. The reversal of 996205606201 is 102606502699.

The square root of 996205606201 is 998101.

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 513875356201 + 482330250000 = 716851^2 + 694500^2 .

It is not a de Polignac number, because 996205606201 - 2⁵ = 996205606169 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (996205606801) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 12936925 + ... + 13013701.

It is an arithmetic number, because the mean of its divisors is an integer number (119860618309).

Almost surely, 2^996205606201 is an apocalyptic number.

996205606201 is the 998101-st square number.

996205606201 is the 499051-st centered octagonal number.

It is an amenable number.

996205606201 is a deficient number, since it is larger than the sum of its proper divisors (82539958580).

996205606201 is an frugal number, since it uses more digits than its factorization.

996205606201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153580 (or 76790 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 46.

The spelling of 996205606201 in words is "nine hundred ninety-six billion, two hundred five million, six hundred six thousand, two hundred one".