820657287523 has 32 divisors (see below), whose sum is σ = 903597791040. Its totient is φ = 742644080640.

The previous prime is 820657287491. The next prime is 820657287529. The reversal of 820657287523 is 325782756028.

It is not a de Polignac number, because 820657287523 - 2⁵ = 820657287491 is a prime.

It is a Smith number, since the sum of its digits (55) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (820657287529) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 7738111 + ... + 7843447.

It is an arithmetic number, because the mean of its divisors is an integer number (28237430970).

Almost surely, 2^820657287523 is an apocalyptic number.

820657287523 is a deficient number, since it is larger than the sum of its proper divisors (82940503517).

820657287523 is a wasteful number, since it uses less digits than its factorization.

820657287523 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105607.

The product of its (nonzero) digits is 11289600, while the sum is 55.

The spelling of 820657287523 in words is "eight hundred twenty billion, six hundred fifty-seven million, two hundred eighty-seven thousand, five hundred twenty-three".