820290553 has 6 divisors (see below), whose sum is σ = 865736394. Its totient is φ = 777117024.

The previous prime is 820290551. The next prime is 820290557. The reversal of 820290553 is 355092028.

It can be written as a sum of positive squares in only one way, i.e., 570397689 + 249892864 = 23883^2 + 15808^2 .

It is not a de Polignac number, because 820290553 - 2¹ = 820290551 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (820290551) 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, 1135776 + ... + 1136497.

It is an arithmetic number, because the mean of its divisors is an integer number (144289399).

Almost surely, 2^820290553 is an apocalyptic number.

It is an amenable number.

820290553 is a deficient number, since it is larger than the sum of its proper divisors (45445841).

820290553 is a wasteful number, since it uses less digits than its factorization.

820290553 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2272311 (or 2272292 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 34.

The square root of 820290553 is about 28640.7149526683. The cubic root of 820290553 is about 936.1006999707.

The spelling of 820290553 in words is "eight hundred twenty million, two hundred ninety thousand, five hundred fifty-three".