820687091029 has 16 divisors (see below), whose sum is σ = 957569038272. Its totient is φ = 696413829888.

The previous prime is 820687091017. The next prime is 820687091041. The reversal of 820687091029 is 920190786028.

It is an interprime number because it is at equal distance from previous prime (820687091017) and next prime (820687091041).

It is a cyclic number.

It is not a de Polignac number, because 820687091029 - 2¹³ = 820687082837 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (820687091129) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 43170919 + ... + 43189924.

It is an arithmetic number, because the mean of its divisors is an integer number (59848064892).

Almost surely, 2^820687091029 is an apocalyptic number.

It is an amenable number.

820687091029 is a deficient number, since it is larger than the sum of its proper divisors (136881947243).

820687091029 is a wasteful number, since it uses less digits than its factorization.

820687091029 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86360916.

The product of its (nonzero) digits is 870912, while the sum is 52.

The spelling of 820687091029 in words is "eight hundred twenty billion, six hundred eighty-seven million, ninety-one thousand, twenty-nine".