459091209825 has 18 divisors (see below), whose sum is σ = 822283367334. Its totient is φ = 244848645120.

The previous prime is 459091209779. The next prime is 459091209853. The reversal of 459091209825 is 528902190954.

459091209825 is a `hidden beast` number, since 4 + 590 + 9 + 1 + 20 + 9 + 8 + 25 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 7232992209 + 451858217616 = 85047^2 + 672204^2 .

It is not a de Polignac number, because 459091209825 - 2⁶ = 459091209761 is a prime.

It is a super-3 number, since 3×459091209825³ (a number of 36 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1020202464 + ... + 1020202913.

Almost surely, 2^459091209825 is an apocalyptic number.

459091209825 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

459091209825 is a deficient number, since it is larger than the sum of its proper divisors (363192157509).

459091209825 is a wasteful number, since it uses less digits than its factorization.

459091209825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2040405393 (or 2040405385 counting only the distinct ones).

The product of its (nonzero) digits is 2332800, while the sum is 54.

The spelling of 459091209825 in words is "four hundred fifty-nine billion, ninety-one million, two hundred nine thousand, eight hundred twenty-five".