2201517030001 has 9 divisors (see below), whose sum is σ = 2206512242571. Its totient is φ = 2196533110392.

The previous prime is 2201517029977. The next prime is 2201517030007. The reversal of 2201517030001 is 1000307151022.

It is a happy number.

The square root of 2201517030001 is 1483751.

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., 75391430625 + 2126125599376 = 274575^2 + 1458124^2 .

It is not a de Polignac number, because 2201517030001 - 2⁹ = 2201517029489 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2201517030007) 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, 776000355 + ... + 776003191.

Almost surely, 2^{2201517030001} is an apocalyptic number.

2201517030001 is the 1483751-st square number.

2201517030001 is the 741876-th centered octagonal number.

It is an amenable number.

2201517030001 is a deficient number, since it is larger than the sum of its proper divisors (4995212570).

2201517030001 is an frugal number, since it uses more digits than its factorization.

2201517030001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6720 (or 3360 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 22.

The spelling of 2201517030001 in words is "two trillion, two hundred one billion, five hundred seventeen million, thirty thousand, one".