820486805301 has 6 divisors (see below), whose sum is σ = 1185147607670. Its totient is φ = 546991203528.

The previous prime is 820486805267. The next prime is 820486805339. The reversal of 820486805301 is 103508684028.

It can be written as a sum of positive squares in only one way, i.e., 820471828401 + 14976900 = 905799^2 + 3870^2 .

It is not a de Polignac number, because 820486805301 - 2³⁸ = 545608898357 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (820486805401) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 45582600286 + ... + 45582600303.

Almost surely, 2^820486805301 is an apocalyptic number.

It is an amenable number.

820486805301 is a deficient number, since it is larger than the sum of its proper divisors (364660802369).

820486805301 is a wasteful number, since it uses less digits than its factorization.

820486805301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91165200595 (or 91165200592 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The spelling of 820486805301 in words is "eight hundred twenty billion, four hundred eighty-six million, eight hundred five thousand, three hundred one".