2005891527025 has 27 divisors (see below), whose sum is σ = 2530704871713. Its totient is φ = 1577186112000.

The previous prime is 2005891527023. The next prime is 2005891527061. The reversal of 2005891527025 is 5207251985002.

The square root of 2005891527025 is 1416295.

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

It can be written as a sum of positive squares in 4 ways, for example, as 8180659809 + 1997710867216 = 90447^2 + 1413404^2 .

It is not a de Polignac number, because 2005891527025 - 2¹ = 2005891527023 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2005891527023) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 417804625 + ... + 417809425.

Almost surely, 2^{2005891527025} is an apocalyptic number.

2005891527025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

2005891527025 is the 1416295-th square number.

2005891527025 is the 708148-th centered octagonal number.

It is an amenable number.

2005891527025 is a deficient number, since it is larger than the sum of its proper divisors (524813344688).

2005891527025 is an frugal number, since it uses more digits than its factorization.

2005891527025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9730 (or 4865 counting only the distinct ones).

The product of its (nonzero) digits is 504000, while the sum is 46.

The spelling of 2005891527025 in words is "two trillion, five billion, eight hundred ninety-one million, five hundred twenty-seven thousand, twenty-five".