2006272487825 has 12 divisors (see below), whose sum is σ = 2573563330140. Its totient is φ = 1549672541760.

The previous prime is 2006272487803. The next prime is 2006272487839. The reversal of 2006272487825 is 5287842726002.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 207519424849 + 1798753062976 = 455543^2 + 1341176^2 .

It is a de Polignac number, because none of the positive numbers 2^k-2006272487825 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1383635474 + ... + 1383636923.

It is an arithmetic number, because the mean of its divisors is an integer number (214463610845).

Almost surely, 2^{2006272487825} is an apocalyptic number.

2006272487825 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

2006272487825 is a deficient number, since it is larger than the sum of its proper divisors (567290842315).

2006272487825 is a wasteful number, since it uses less digits than its factorization.

2006272487825 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2767272436 (or 2767272431 counting only the distinct ones).

The product of its (nonzero) digits is 6021120, while the sum is 53.

The spelling of 2006272487825 in words is "two trillion, six billion, two hundred seventy-two million, four hundred eighty-seven thousand, eight hundred twenty-five".