820582051 has 8 divisors (see below), whose sum is σ = 864416000. Its totient is φ = 776812680.

The previous prime is 820582043. The next prime is 820582097. The reversal of 820582051 is 150285028.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 820582051 - 2³ = 820582043 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (820582351) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11146 + ... + 42016.

It is an arithmetic number, because the mean of its divisors is an integer number (108052000).

Almost surely, 2^820582051 is an apocalyptic number.

820582051 is a deficient number, since it is larger than the sum of its proper divisors (43833949).

820582051 is a wasteful number, since it uses less digits than its factorization.

820582051 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32289.

The product of its (nonzero) digits is 6400, while the sum is 31.

The square root of 820582051 is about 28645.8033750146. The cubic root of 820582051 is about 936.2115709154.

The spelling of 820582051 in words is "eight hundred twenty million, five hundred eighty-two thousand, fifty-one".