8217401293201 has 27 divisors (see below), whose sum is σ = 8595779551803. Its totient is φ = 7855404052320.

The previous prime is 8217401293177. The next prime is 8217401293217. The reversal of 8217401293201 is 1023921047128.

The square root of 8217401293201 is 2866601.

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., 1577915334801 + 6639485958400 = 1256151^2 + 2576720^2 .

It is not a de Polignac number, because 8217401293201 - 2³³ = 8208811358609 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (8217401293261) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 7908951640 + ... + 7908952678.

Almost surely, 2^{8217401293201} is an apocalyptic number.

8217401293201 is the 2866601-st square number.

8217401293201 is the 1433301-st centered octagonal number.

It is an amenable number.

8217401293201 is a deficient number, since it is larger than the sum of its proper divisors (378378258602).

8217401293201 is an frugal number, since it uses more digits than its factorization.

8217401293201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2318 (or 1159 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 40.

The spelling of 8217401293201 in words is "eight trillion, two hundred seventeen billion, four hundred one million, two hundred ninety-three thousand, two hundred one".