1128258218025 has 81 divisors (see below), whose sum is σ = 2133365902551. Its totient is φ = 569914354080.

The previous prime is 1128258217909. The next prime is 1128258218033. The reversal of 1128258218025 is 5208128528211.

The square root of 1128258218025 is 1062195.

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

1128258218025 is a `hidden beast` number, since 11 + 28 + 2 + 582 + 18 + 0 + 25 = 666.

It can be written as a sum of positive squares in only one way, i.e., 406172958489 + 722085259536 = 637317^2 + 849756^2 .

It is not a de Polignac number, because 1128258218025 - 2¹⁷ = 1128258086953 is a prime.

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

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 80 ways as a sum of consecutive naturals, for example, 302723712 + ... + 302727438.

Almost surely, 2^{1128258218025} is an apocalyptic number.

1128258218025 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

1128258218025 is the 1062195-th square number.

1128258218025 is the 531098-th centered octagonal number.

It is an amenable number.

1128258218025 is a deficient number, since it is larger than the sum of its proper divisors (1005107684526).

1128258218025 is an frugal number, since it uses more digits than its factorization.

1128258218025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7508 (or 3754 counting only the distinct ones).

The product of its (nonzero) digits is 204800, while the sum is 45.

The spelling of 1128258218025 in words is "one trillion, one hundred twenty-eight billion, two hundred fifty-eight million, two hundred eighteen thousand, twenty-five".