2261567830201 has 27 divisors (see below), whose sum is σ = 2339925494053. Its totient is φ = 2185817351480.

The previous prime is 2261567830199. The next prime is 2261567830217. The reversal of 2261567830201 is 1020387651622.

The square root of 2261567830201 is 1503851.

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

It is not a de Polignac number, because 2261567830201 - 2¹ = 2261567830199 is a prime.

It is a super-2 number, since 2×2261567830201² (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2261567830601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 6299631660 + ... + 6299632018.

Almost surely, 2^{2261567830201} is an apocalyptic number.

2261567830201 is the 1503851-st square number.

2261567830201 is the 751926-th centered octagonal number.

It is an amenable number.

2261567830201 is a deficient number, since it is larger than the sum of its proper divisors (78357663852).

2261567830201 is an frugal number, since it uses more digits than its factorization.

2261567830201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 978 (or 489 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 43.

The spelling of 2261567830201 in words is "two trillion, two hundred sixty-one billion, five hundred sixty-seven million, eight hundred thirty thousand, two hundred one".