10200513 has 16 divisors (see below), whose sum is σ = 14063616. Its totient is φ = 6572160.

The previous prime is 10200497. The next prime is 10200517. The reversal of 10200513 is 31500201.

10200513 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10200513 - 2⁴ = 10200497 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10200517) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15295 + ... + 15947.

It is an arithmetic number, because the mean of its divisors is an integer number (878976).

Almost surely, 2^10200513 is an apocalyptic number.

It is an amenable number.

10200513 is a deficient number, since it is larger than the sum of its proper divisors (3863103).

10200513 is a wasteful number, since it uses less digits than its factorization.

10200513 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 824.

The product of its (nonzero) digits is 30, while the sum is 12.

The square root of 10200513 is about 3193.8241967898. The cubic root of 10200513 is about 216.8739242307.

Adding to 10200513 its reverse (31500201), we get a palindrome (41700714).

The spelling of 10200513 in words is "ten million, two hundred thousand, five hundred thirteen".