820261613 has 2 divisors, whose sum is σ = 820261614. Its totient is φ = 820261612.

The previous prime is 820261591. The next prime is 820261619. The reversal of 820261613 is 316162028.

820261613 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 524318404 + 295943209 = 22898^2 + 17203^2 .

It is a cyclic number.

It is not a de Polignac number, because 820261613 - 2²⁶ = 753152749 is a prime.

It is a super-2 number, since 2×820261613² = 1345658227522723538, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (820261619) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 410130806 + 410130807.

It is an arithmetic number, because the mean of its divisors is an integer number (410130807).

Almost surely, 2^820261613 is an apocalyptic number.

It is an amenable number.

820261613 is a deficient number, since it is larger than the sum of its proper divisors (1).

820261613 is an equidigital number, since it uses as much as digits as its factorization.

820261613 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3456, while the sum is 29.

The square root of 820261613 is about 28640.2097233941. The cubic root of 820261613 is about 936.0896912402.

The spelling of 820261613 in words is "eight hundred twenty million, two hundred sixty-one thousand, six hundred thirteen".