2005608278025 has 135 divisors (see below), whose sum is σ = 4084945299589. Its totient is φ = 972076248000.

The previous prime is 2005608277963. The next prime is 2005608278029. The reversal of 2005608278025 is 5208728065002.

The square root of 2005608278025 is 1416195.

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

2005608278025 is a `hidden beast` number, since 2 + 0 + 0 + 560 + 8 + 2 + 7 + 80 + 2 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 13716391689 + 1991891886336 = 117117^2 + 1411344^2 .

It is a tau number, because it is divible by the number of its divisors (135).

It is not a de Polignac number, because 2005608278025 - 2²⁷ = 2005474060297 is a prime.

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

It is not an unprimeable number, because it can be changed into a prime (2005608278029) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 701015095 + ... + 701017955.

Almost surely, 2^{2005608278025} is an apocalyptic number.

2005608278025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

2005608278025 is the 1416195-th square number.

2005608278025 is the 708098-th centered octagonal number.

It is an amenable number.

2005608278025 is an abundant number, since it is smaller than the sum of its proper divisors (2079337021564).

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

2005608278025 is an frugal number, since it uses more digits than its factorization.

2005608278025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5766 (or 2880 counting only the distinct ones).

The product of its (nonzero) digits is 537600, while the sum is 45.

The spelling of 2005608278025 in words is "two trillion, five billion, six hundred eight million, two hundred seventy-eight thousand, twenty-five".