821080613 has 2 divisors, whose sum is σ = 821080614. Its totient is φ = 821080612.

The previous prime is 821080591. The next prime is 821080633. The reversal of 821080613 is 316080128.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 621903844 + 199176769 = 24938^2 + 14113^2 .

It is a cyclic number.

It is not a de Polignac number, because 821080613 - 2¹⁶ = 821015077 is a prime.

It is equal to p_42174290 and since 821080613 and 42174290 have the same sum of digits, it is a Honaker prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (821080633) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 410540306 + 410540307.

It is an arithmetic number, because the mean of its divisors is an integer number (410540307).

Almost surely, 2^821080613 is an apocalyptic number.

It is an amenable number.

821080613 is a deficient number, since it is larger than the sum of its proper divisors (1).

821080613 is an equidigital number, since it uses as much as digits as its factorization.

821080613 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2304, while the sum is 29.

The square root of 821080613 is about 28654.5042358091. The cubic root of 821080613 is about 936.4011375832.

The spelling of 821080613 in words is "eight hundred twenty-one million, eighty thousand, six hundred thirteen".