11247404301225 has 45 divisors (see below), whose sum is σ = 20834360312007. Its totient is φ = 5998535138160.

The previous prime is 11247404301193. The next prime is 11247404301233. The reversal of 11247404301225 is 52210340474211.

The square root of 11247404301225 is 3353715.

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

11247404301225 is a `hidden beast` number, since 1 + 1 + 24 + 7 + 404 + 3 + 0 + 1 + 225 = 666.

It can be written as a sum of positive squares in only one way, i.e., 4049065548441 + 7198338752784 = 2012229^2 + 2682972^2 .

It is a tau number, because it is divible by the number of its divisors (45).

It is not a de Polignac number, because 11247404301225 - 2⁵ = 11247404301193 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 11247404301225.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 150879912 + ... + 150954438.

Almost surely, 2^{11247404301225} is an apocalyptic number.

11247404301225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

11247404301225 is the 3353715-th square number.

11247404301225 is the 1676858-th centered octagonal number.

It is an amenable number.

11247404301225 is a deficient number, since it is larger than the sum of its proper divisors (9586956010782).

11247404301225 is an frugal number, since it uses more digits than its factorization.

11247404301225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149076 (or 74535 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

Multiplying 11247404301225 by its sum of digits (36), we get a square (404906554844100 = 20122290²).

Adding to 11247404301225 its reverse (52210340474211), we get a palindrome (63457744775436).

The spelling of 11247404301225 in words is "eleven trillion, two hundred forty-seven billion, four hundred four million, three hundred one thousand, two hundred twenty-five".