820351042 has 32 divisors (see below), whose sum is σ = 1470067200. Its totient is φ = 342992160.

The previous prime is 820351027. The next prime is 820351067. The reversal of 820351042 is 240153028.

It is a super-2 number, since 2×820351042² = 1345951664220971528, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 820350998 and 820351016.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13543 + ... + 42709.

It is an arithmetic number, because the mean of its divisors is an integer number (45939600).

Almost surely, 2^820351042 is an apocalyptic number.

820351042 is a gapful number since it is divisible by the number (82) formed by its first and last digit.

820351042 is a deficient number, since it is larger than the sum of its proper divisors (649716158).

820351042 is a wasteful number, since it uses less digits than its factorization.

820351042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29231 (or 29217 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

The square root of 820351042 is about 28641.7709298849. The cubic root of 820351042 is about 936.1237090550.

The spelling of 820351042 in words is "eight hundred twenty million, three hundred fifty-one thousand, forty-two".