220610617201 has 8 divisors (see below), whose sum is σ = 243375315624. Its totient is φ = 198673726080.

The previous prime is 220610617127. The next prime is 220610617207. The reversal of 220610617201 is 102716016022.

It can be written as a sum of positive squares in 4 ways, for example, as 42230250000 + 178380367201 = 205500^2 + 422351^2 .

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 220610617201 - 2¹⁵ = 220610584433 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 220610617201.

It is not an unprimeable number, because it can be changed into a prime (220610617207) 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, 206951266 + ... + 206952331.

It is an arithmetic number, because the mean of its divisors is an integer number (30421914453).

Almost surely, 2^220610617201 is an apocalyptic number.

It is an amenable number.

220610617201 is a deficient number, since it is larger than the sum of its proper divisors (22764698423).

220610617201 is a wasteful number, since it uses less digits than its factorization.

220610617201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 413903651.

The product of its (nonzero) digits is 2016, while the sum is 28.

The spelling of 220610617201 in words is "two hundred twenty billion, six hundred ten million, six hundred seventeen thousand, two hundred one".