820224320053 has 2 divisors, whose sum is σ = 820224320054. Its totient is φ = 820224320052.

The previous prime is 820224319951. The next prime is 820224320059. The reversal of 820224320053 is 350023422028.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 626348782084 + 193875537969 = 791422^2 + 440313^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-820224320053 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 820224319997 and 820224320024.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (820224320059) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 410112160026 + 410112160027.

It is an arithmetic number, because the mean of its divisors is an integer number (410112160027).

Almost surely, 2^820224320053 is an apocalyptic number.

It is an amenable number.

820224320053 is a deficient number, since it is larger than the sum of its proper divisors (1).

820224320053 is an equidigital number, since it uses as much as digits as its factorization.

820224320053 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 23040, while the sum is 31.

The spelling of 820224320053 in words is "eight hundred twenty billion, two hundred twenty-four million, three hundred twenty thousand, fifty-three".