820411291829 has 2 divisors, whose sum is σ = 820411291830. Its totient is φ = 820411291828.

The previous prime is 820411291771. The next prime is 820411291853. The reversal of 820411291829 is 928192114028.

820411291829 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., 498584271025 + 321827020804 = 706105^2 + 567298^2 .

It is a cyclic number.

It is not a de Polignac number, because 820411291829 - 2¹⁶ = 820411226293 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (820411293829) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 410205645914 + 410205645915.

It is an arithmetic number, because the mean of its divisors is an integer number (410205645915).

Almost surely, 2^820411291829 is an apocalyptic number.

It is an amenable number.

820411291829 is a deficient number, since it is larger than the sum of its proper divisors (1).

820411291829 is an equidigital number, since it uses as much as digits as its factorization.

820411291829 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 165888, while the sum is 47.

The spelling of 820411291829 in words is "eight hundred twenty billion, four hundred eleven million, two hundred ninety-one thousand, eight hundred twenty-nine".