2261721201601 has 8 divisors (see below), whose sum is σ = 2380849539680. Its totient is φ = 2142601901568.

The previous prime is 2261721201599. The next prime is 2261721201617. The reversal of 2261721201601 is 1061021271622.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 2261721201601 - 2¹ = 2261721201599 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2261721201401) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1742811 + ... + 2749696.

It is an arithmetic number, because the mean of its divisors is an integer number (297606192460).

Almost surely, 2^{2261721201601} is an apocalyptic number.

It is an amenable number.

2261721201601 is a deficient number, since it is larger than the sum of its proper divisors (119128338079).

2261721201601 is a wasteful number, since it uses less digits than its factorization.

2261721201601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4519023.

The product of its (nonzero) digits is 4032, while the sum is 31.

The spelling of 2261721201601 in words is "two trillion, two hundred sixty-one billion, seven hundred twenty-one million, two hundred one thousand, six hundred one".