1153443780225 has 243 divisors, whose sum is σ = 2382275572131. Its totient is φ = 533040235200.

The previous prime is 1153443780199. The next prime is 1153443780241. The reversal of 1153443780225 is 5220873443511.

The square root of 1153443780225 is 1073985.

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

1153443780225 is a `hidden beast` number, since 1 + 1 + 5 + 344 + 3 + 7 + 80 + 225 = 666.

It can be written as a sum of positive squares in only one way, i.e., 415239760881 + 738204019344 = 644391^2 + 859188^2 .

It is not a de Polignac number, because 1153443780225 - 2¹¹ = 1153443778177 is a prime.

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

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 4075772934 + ... + 4075773216.

Almost surely, 2^{1153443780225} is an apocalyptic number.

1153443780225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

1153443780225 is the 1073985-th square number.

1153443780225 is the 536993-rd centered octagonal number.

It is an amenable number.

1153443780225 is an abundant number, since it is smaller than the sum of its proper divisors (1228831791906).

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

1153443780225 is a wasteful number, since it uses less digits than its factorization.

1153443780225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 650 (or 325 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The spelling of 1153443780225 in words is "one trillion, one hundred fifty-three billion, four hundred forty-three million, seven hundred eighty thousand, two hundred twenty-five".