10181819025 has 135 divisors (see below), whose sum is σ = 21921340155. Its totient is φ = 4504399200.

The previous prime is 10181818987. The next prime is 10181819041. The reversal of 10181819025 is 52091818101.

The square root of 10181819025 is 100905.

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

10181819025 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 only one way, i.e., 3665454849 + 6516364176 = 60543^2 + 80724^2 .

It is not a de Polignac number, because 10181819025 - 2⁷ = 10181818897 is a prime.

It is an unprimeable number.

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 134 ways as a sum of consecutive naturals, for example, 328445760 + ... + 328445790.

Almost surely, 2^10181819025 is an apocalyptic number.

10181819025 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

10181819025 is the 100905-th square number.

10181819025 is the 50453-rd centered octagonal number.

It is an amenable number.

10181819025 is an abundant number, since it is smaller than the sum of its proper divisors (11739521130).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10181819025 is an frugal number, since it uses more digits than its factorization.

10181819025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 36.

Multiplying 10181819025 by its sum of digits (36), we get a square (366545484900 = 605430²).

The spelling of 10181819025 in words is "ten billion, one hundred eighty-one million, eight hundred nineteen thousand, twenty-five".