1153121607225 has 225 divisors, whose sum is σ = 2496955391007. Its totient is φ = 526058880480.

The previous prime is 1153121607181. The next prime is 1153121607269. The reversal of 1153121607225 is 5227061213511.

The square root of 1153121607225 is 1073835.

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

1153121607225 is a `hidden beast` number, since 1 + 1 + 5 + 3 + 1 + 21 + 607 + 2 + 25 = 666.

It is an interprime number because it is at equal distance from previous prime (1153121607181) and next prime (1153121607269).

It can be written as a sum of positive squares in only one way, i.e., 415123778601 + 737997828624 = 644301^2 + 859068^2 .

It is a tau number, because it is divible by the number of its divisors (225).

It is not a de Polignac number, because 1153121607225 - 2¹¹ = 1153121605177 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 1153121607225.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 224 ways as a sum of consecutive naturals, for example, 2367805932 + ... + 2367806418.

Almost surely, 2^{1153121607225} is an apocalyptic number.

1153121607225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

1153121607225 is the 1073835-th square number.

1153121607225 is the 536918-th centered octagonal number.

It is an amenable number.

1153121607225 is an abundant number, since it is smaller than the sum of its proper divisors (1343833783782).

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

1153121607225 is an frugal number, since it uses more digits than its factorization.

1153121607225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1024 (or 502 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 36.

Multiplying 1153121607225 by its sum of digits (36), we get a square (41512377860100 = 6443010²).

The spelling of 1153121607225 in words is "one trillion, one hundred fifty-three billion, one hundred twenty-one million, six hundred seven thousand, two hundred twenty-five".