10113449427225 has 81 divisors (see below), whose sum is σ = 18570491310397. Its totient is φ = 5261264976000.

The previous prime is 10113449427197. The next prime is 10113449427227. The reversal of 10113449427225 is 52272494431101.

The square root of 10113449427225 is 3180165.

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

10113449427225 is a `hidden beast` number, since 1 + 0 + 1 + 134 + 494 + 2 + 7 + 2 + 25 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 4256913906441 + 5856535520784 = 2063229^2 + 2420028^2 .

It is not a de Polignac number, because 10113449427225 - 2⁷ = 10113449427097 is a prime.

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

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10113449427227) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 1955798890 + ... + 1955804060.

Almost surely, 2^{10113449427225} is an apocalyptic number.

10113449427225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

10113449427225 is the 3180165-th square number.

10113449427225 is the 1590083-rd centered octagonal number.

It is an amenable number.

10113449427225 is a deficient number, since it is larger than the sum of its proper divisors (8457041883172).

10113449427225 is an frugal number, since it uses more digits than its factorization.

10113449427225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10440 (or 5220 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 10113449427225 in words is "ten trillion, one hundred thirteen billion, four hundred forty-nine million, four hundred twenty-seven thousand, two hundred twenty-five".