820888523 has 32 divisors (see below), whose sum is σ = 1036761600. Its totient is φ = 645835680.

The previous prime is 820888501. The next prime is 820888573. The reversal of 820888523 is 325888028.

It is not a de Polignac number, because 820888523 - 2¹⁶ = 820822987 is a prime.

It is not an unprimeable number, because it can be changed into a prime (820888573) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1011788 + ... + 1012598.

It is an arithmetic number, because the mean of its divisors is an integer number (32398800).

Almost surely, 2^820888523 is an apocalyptic number.

820888523 is a deficient number, since it is larger than the sum of its proper divisors (215873077).

820888523 is a wasteful number, since it uses less digits than its factorization.

820888523 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1072 (or 1058 counting only the distinct ones).

The product of its (nonzero) digits is 245760, while the sum is 44.

The square root of 820888523 is about 28651.1522106878. The cubic root of 820888523 is about 936.3281088938.

The spelling of 820888523 in words is "eight hundred twenty million, eight hundred eighty-eight thousand, five hundred twenty-three".