820484480201 has 8 divisors (see below), whose sum is σ = 869164577280. Its totient is φ = 771850639168.

The previous prime is 820484480173. The next prime is 820484480203. The reversal of 820484480201 is 102084484028.

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 820484480201 - 2¹⁴ = 820484463817 is a prime.

It is a super-2 number, since 2×820484480201² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (820484480203) 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, 11527481 + ... + 11598438.

It is an arithmetic number, because the mean of its divisors is an integer number (108645572160).

Almost surely, 2^820484480201 is an apocalyptic number.

It is an amenable number.

820484480201 is a deficient number, since it is larger than the sum of its proper divisors (48680097079).

820484480201 is a wasteful number, since it uses less digits than its factorization.

820484480201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23128023.

The product of its (nonzero) digits is 131072, while the sum is 41.

The spelling of 820484480201 in words is "eight hundred twenty billion, four hundred eighty-four million, four hundred eighty thousand, two hundred one".