820701253 has 2 divisors, whose sum is σ = 820701254. Its totient is φ = 820701252.

The previous prime is 820701239. The next prime is 820701317. The reversal of 820701253 is 352107028.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 639179524 + 181521729 = 25282^2 + 13473^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-820701253 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (820701853) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 410350626 + 410350627.

It is an arithmetic number, because the mean of its divisors is an integer number (410350627).

Almost surely, 2^820701253 is an apocalyptic number.

It is an amenable number.

820701253 is a deficient number, since it is larger than the sum of its proper divisors (1).

820701253 is an equidigital number, since it uses as much as digits as its factorization.

820701253 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 3360, while the sum is 28.

The square root of 820701253 is about 28647.8839183630. The cubic root of 820701253 is about 936.2569017015.

The spelling of 820701253 in words is "eight hundred twenty million, seven hundred one thousand, two hundred fifty-three".