10038513 has 8 divisors (see below), whose sum is σ = 13816576. Its totient is φ = 6476400.

The previous prime is 10038493. The next prime is 10038521. The reversal of 10038513 is 31583001.

It is a happy number.

10038513 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

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

It is not a de Polignac number, because 10038513 - 2⁸ = 10038257 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 10038513.

It is not an unprimeable number, because it can be changed into a prime (10038533) 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, 53878 + ... + 54063.

It is an arithmetic number, because the mean of its divisors is an integer number (1727072).

Almost surely, 2^10038513 is an apocalyptic number.

It is an amenable number.

10038513 is a deficient number, since it is larger than the sum of its proper divisors (3778063).

10038513 is a wasteful number, since it uses less digits than its factorization.

10038513 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107975.

The product of its (nonzero) digits is 360, while the sum is 21.

The square root of 10038513 is about 3168.3612483427. The cubic root of 10038513 is about 215.7196938419.

The spelling of 10038513 in words is "ten million, thirty-eight thousand, five hundred thirteen".