820550253 has 16 divisors (see below), whose sum is σ = 1130994176. Its totient is φ = 528621120.

The previous prime is 820550249. The next prime is 820550267. The reversal of 820550253 is 352055028.

820550253 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 820550253 - 2² = 820550249 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 820550253.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (820550233) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 62151 + ... + 74187.

It is an arithmetic number, because the mean of its divisors is an integer number (70687136).

Almost surely, 2^820550253 is an apocalyptic number.

It is an amenable number.

820550253 is a deficient number, since it is larger than the sum of its proper divisors (310443923).

820550253 is a wasteful number, since it uses less digits than its factorization.

820550253 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12804.

The product of its (nonzero) digits is 12000, while the sum is 30.

The square root of 820550253 is about 28645.2483494209. The cubic root of 820550253 is about 936.1994778570.

It can be divided in two parts, 82055025 and 3, that added together give a palindrome (82055028).

The spelling of 820550253 in words is "eight hundred twenty million, five hundred fifty thousand, two hundred fifty-three".