10949291325 has 108 divisors (see below), whose sum is σ = 23041475028. Its totient is φ = 4955328000.

The previous prime is 10949291317. The next prime is 10949291377. The reversal of 10949291325 is 52319294901.

10949291325 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 6 ways, for example, as 282946041 + 10666345284 = 16821^2 + 103278^2 .

It is not a de Polignac number, because 10949291325 - 2³ = 10949291317 is a prime.

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

It is a congruent number.

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 107 ways as a sum of consecutive naturals, for example, 1108609 + ... + 1118441.

It is an arithmetic number, because the mean of its divisors is an integer number (213346991).

Almost surely, 2^10949291325 is an apocalyptic number.

10949291325 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10949291325 is an abundant number, since it is smaller than the sum of its proper divisors (12092183703).

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

10949291325 is a wasteful number, since it uses less digits than its factorization.

10949291325 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9964 (or 9949 counting only the distinct ones).

The product of its (nonzero) digits is 174960, while the sum is 45.

The spelling of 10949291325 in words is "ten billion, nine hundred forty-nine million, two hundred ninety-one thousand, three hundred twenty-five".