820513353 has 8 divisors (see below), whose sum is σ = 1193474016. Its totient is φ = 497280800.

The previous prime is 820513333. The next prime is 820513387. The reversal of 820513353 is 353315028.

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 820513353 - 2⁹ = 820512841 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 820513353.

It is not an unprimeable number, because it can be changed into a prime (820513333) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 12431988 + ... + 12432053.

It is an arithmetic number, because the mean of its divisors is an integer number (149184252).

Almost surely, 2^820513353 is an apocalyptic number.

It is an amenable number.

820513353 is a deficient number, since it is larger than the sum of its proper divisors (372960663).

820513353 is a wasteful number, since it uses less digits than its factorization.

820513353 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24864055.

The product of its (nonzero) digits is 10800, while the sum is 30.

The square root of 820513353 is about 28644.6042562993. The cubic root of 820513353 is about 936.1854440715.

The spelling of 820513353 in words is "eight hundred twenty million, five hundred thirteen thousand, three hundred fifty-three".