10038187758325 has 24 divisors (see below), whose sum is σ = 12682966807368. Its totient is φ = 7878559303680.

The previous prime is 10038187758317. The next prime is 10038187758359. The reversal of 10038187758325 is 52385778183001.

It can be written as a sum of positive squares in 12 ways, for example, as 526601302929 + 9511586455396 = 725673^2 + 3084086^2 .

It is not a de Polignac number, because 10038187758325 - 2³ = 10038187758317 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 10038187758325.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22827937 + ... + 23263513.

It is an arithmetic number, because the mean of its divisors is an integer number (528456950307).

Almost surely, 2^{10038187758325} is an apocalyptic number.

It is an amenable number.

10038187758325 is a deficient number, since it is larger than the sum of its proper divisors (2644779049043).

10038187758325 is a wasteful number, since it uses less digits than its factorization.

10038187758325 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 453033 (or 453028 counting only the distinct ones).

The product of its (nonzero) digits is 11289600, while the sum is 58.

The spelling of 10038187758325 in words is "ten trillion, thirty-eight billion, one hundred eighty-seven million, seven hundred fifty-eight thousand, three hundred twenty-five".