10388705625 has 105 divisors (see below), whose sum is σ = 19593438249. Its totient is φ = 5503950000.

The previous prime is 10388705623. The next prime is 10388705629. The reversal of 10388705625 is 52650788301.

The square root of 10388705625 is 101925.

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

10388705625 is a `hidden beast` number, since 1 + 0 + 3 + 8 + 87 + 0 + 562 + 5 = 666.

10388705625 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 2 ways, for example, as 814474521 + 9574231104 = 28539^2 + 97848^2 .

It is not a de Polignac number, because 10388705625 - 2¹ = 10388705623 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (10388705623) 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 104 ways as a sum of consecutive naturals, for example, 68799300 + ... + 68799450.

Almost surely, 2^10388705625 is an apocalyptic number.

10388705625 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

10388705625 is the 101925-th square number.

10388705625 is the 50963-rd centered octagonal number.

It is an amenable number.

10388705625 is a deficient number, since it is larger than the sum of its proper divisors (9204732624).

10388705625 is an frugal number, since it uses more digits than its factorization.

10388705625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 340 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The spelling of 10388705625 in words is "ten billion, three hundred eighty-eight million, seven hundred five thousand, six hundred twenty-five".