820135086306 has 32 divisors (see below), whose sum is σ = 1694151979008. Its totient is φ = 264408163920.

The previous prime is 820135086259. The next prime is 820135086503. The reversal of 820135086306 is 603680531028.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 937030 + ... + 1586913.

It is an arithmetic number, because the mean of its divisors is an integer number (52942249344).

Almost surely, 2^820135086306 is an apocalyptic number.

820135086306 is an abundant number, since it is smaller than the sum of its proper divisors (874016892702).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

820135086306 is a wasteful number, since it uses less digits than its factorization.

820135086306 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2525726.

The product of its (nonzero) digits is 207360, while the sum is 42.

The spelling of 820135086306 in words is "eight hundred twenty billion, one hundred thirty-five million, eighty-six thousand, three hundred six".