2005454355525 has 72 divisors (see below), whose sum is σ = 3660542234856. Its totient is φ = 1049172134400.

The previous prime is 2005454355517. The next prime is 2005454355533. The reversal of 2005454355525 is 5255534545002.

2005454355525 is a `hidden beast` number, since 2 + 0 + 0 + 5 + 4 + 543 + 55 + 52 + 5 = 666.

It is an interprime number because it is at equal distance from previous prime (2005454355517) and next prime (2005454355533).

It can be written as a sum of positive squares in 12 ways, for example, as 666414260964 + 1339040094561 = 816342^2 + 1157169^2 .

It is not a de Polignac number, because 2005454355525 - 2³ = 2005454355517 is a prime.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

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 71 ways as a sum of consecutive naturals, for example, 66538359 + ... + 66568491.

It is an arithmetic number, because the mean of its divisors is an integer number (50840864373).

Almost surely, 2^{2005454355525} is an apocalyptic number.

2005454355525 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

2005454355525 is a deficient number, since it is larger than the sum of its proper divisors (1655087879331).

2005454355525 is a wasteful number, since it uses less digits than its factorization.

2005454355525 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35783 (or 35775 counting only the distinct ones).

The product of its (nonzero) digits is 3000000, while the sum is 45.

The spelling of 2005454355525 in words is "two trillion, five billion, four hundred fifty-four million, three hundred fifty-five thousand, five hundred twenty-five".