10820513 has 8 divisors (see below), whose sum is σ = 11828160. Its totient is φ = 9816880.

The previous prime is 10820503. The next prime is 10820521. The reversal of 10820513 is 31502801.

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 10820513 - 2¹⁰ = 10819489 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (10820503) 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, 9203 + ... + 10311.

It is an arithmetic number, because the mean of its divisors is an integer number (1478520).

Almost surely, 2^10820513 is an apocalyptic number.

It is an amenable number.

10820513 is a deficient number, since it is larger than the sum of its proper divisors (1007647).

10820513 is a wasteful number, since it uses less digits than its factorization.

10820513 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2007.

The product of its (nonzero) digits is 240, while the sum is 20.

The square root of 10820513 is about 3289.4548180512. The cubic root of 10820513 is about 221.1817468509.

The spelling of 10820513 in words is "ten million, eight hundred twenty thousand, five hundred thirteen".