820261611 has 36 divisors (see below), whose sum is σ = 1358485128. Its totient is φ = 475068672.

The previous prime is 820261591. The next prime is 820261613. The reversal of 820261611 is 116162028.

820261611 is a `hidden beast` number, since 8 + 20 + 26 + 1 + 611 = 666.

820261611 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 820261611 - 2¹⁰ = 820260587 is a prime.

It is a super-2 number, since 2×820261611² = 1345658220960630642, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (820261613) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 9996 + ... + 41718.

It is an arithmetic number, because the mean of its divisors is an integer number (37735698).

Almost surely, 2^820261611 is an apocalyptic number.

820261611 is a deficient number, since it is larger than the sum of its proper divisors (538223517).

820261611 is a wasteful number, since it uses less digits than its factorization.

820261611 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31772 (or 31756 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 820261611 is about 28640.2096884782. The cubic root of 820261611 is about 936.0896904794.

The spelling of 820261611 in words is "eight hundred twenty million, two hundred sixty-one thousand, six hundred eleven".