820724513 has 8 divisors (see below), whose sum is σ = 987337920. Its totient is φ = 666452880.

The previous prime is 820724507. The next prime is 820724533. The reversal of 820724513 is 315427028.

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 820724513 - 2¹⁴ = 820708129 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 820724513.

It is not an unprimeable number, because it can be changed into a prime (820724533) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3085298 + ... + 3085563.

It is an arithmetic number, because the mean of its divisors is an integer number (123417240).

Almost surely, 2^820724513 is an apocalyptic number.

It is an amenable number.

820724513 is a deficient number, since it is larger than the sum of its proper divisors (166613407).

820724513 is a wasteful number, since it uses less digits than its factorization.

820724513 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6170887.

The product of its (nonzero) digits is 13440, while the sum is 32.

The square root of 820724513 is about 28648.2898791533. The cubic root of 820724513 is about 936.2657466293.

The spelling of 820724513 in words is "eight hundred twenty million, seven hundred twenty-four thousand, five hundred thirteen".