10748505625 has 135 divisors (see below), whose sum is σ = 16556629089. Its totient is φ = 6966960000.

The previous prime is 10748505601. The next prime is 10748505641. The reversal of 10748505625 is 52650584701.

The square root of 10748505625 is 103675.

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

It can be written as a sum of positive squares in 22 ways, for example, as 6811696089 + 3936809536 = 82533^2 + 62744^2 .

It is not a de Polignac number, because 10748505625 - 2³¹ = 8601021977 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 370638111 + ... + 370638139.

Almost surely, 2^10748505625 is an apocalyptic number.

10748505625 is the 103675-th square number.

10748505625 is the 51838-th centered octagonal number.

It is an amenable number.

10748505625 is a deficient number, since it is larger than the sum of its proper divisors (5808123464).

10748505625 is an equidigital number, since it uses as much as digits as its factorization.

10748505625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 336000, while the sum is 43.

The spelling of 10748505625 in words is "ten billion, seven hundred forty-eight million, five hundred five thousand, six hundred twenty-five".