10378515625 has 27 divisors (see below), whose sum is σ = 13053215973. Its totient is φ = 8251875000.

The previous prime is 10378515619. The next prime is 10378515629. The reversal of 10378515625 is 52651587301.

It is a happy number.

The square root of 10378515625 is 101875.

It is a perfect power (a square), and thus also a powerful number.

10378515625 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 7378981801 + 2999533824 = 85901^2 + 54768^2 .

It is not a de Polignac number, because 10378515625 - 2⁵ = 10378515593 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10378515629) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 63671794 + ... + 63671956.

Almost surely, 2^10378515625 is an apocalyptic number.

10378515625 is the 101875-th square number.

10378515625 is the 50938-th centered octagonal number.

It is an amenable number.

10378515625 is a deficient number, since it is larger than the sum of its proper divisors (2674700348).

10378515625 is an frugal number, since it uses more digits than its factorization.

10378515625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 366 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 252000, while the sum is 43.

The spelling of 10378515625 in words is "ten billion, three hundred seventy-eight million, five hundred fifteen thousand, six hundred twenty-five".