1154023805025 has 243 divisors, whose sum is σ = 2606949639801. Its totient is φ = 486353911680.

The previous prime is 1154023804957. The next prime is 1154023805089. The reversal of 1154023805025 is 5205083204511.

The square root of 1154023805025 is 1074255.

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

1154023805025 is a `hidden beast` number, since 1 + 1 + 54 + 0 + 23 + 80 + 502 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 297451342881 + 856572462144 = 545391^2 + 925512^2 .

It is not a de Polignac number, because 1154023805025 - 2¹³ = 1154023796833 is a prime.

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 242 ways as a sum of consecutive naturals, for example, 1466357682 + ... + 1466358468.

Almost surely, 2^{1154023805025} is an apocalyptic number.

1154023805025 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

1154023805025 is the 1074255-th square number.

1154023805025 is the 537128-th centered octagonal number.

It is an amenable number.

1154023805025 is an abundant number, since it is smaller than the sum of its proper divisors (1452925834776).

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

1154023805025 is an equidigital number, since it uses as much as digits as its factorization.

1154023805025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1630 (or 815 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 36.

Multiplying 1154023805025 by its sum of digits (36), we get a square (41544856980900 = 6445530²).

The spelling of 1154023805025 in words is "one trillion, one hundred fifty-four billion, twenty-three million, eight hundred five thousand, twenty-five".