2527968825 has 48 divisors (see below), whose sum is σ = 4731661440. Its totient is φ = 1322792640.

The previous prime is 2527968823. The next prime is 2527968853. The reversal of 2527968825 is 5288697252.

It is a happy number.

2527968825 is a `hidden beast` number, since 2 + 527 + 96 + 8 + 8 + 25 = 666.

It is not a de Polignac number, because 2527968825 - 2¹ = 2527968823 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2527968823) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 444 + ... + 71106.

It is an arithmetic number, because the mean of its divisors is an integer number (98576280).

Almost surely, 2^2527968825 is an apocalyptic number.

2527968825 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

2527968825 is a deficient number, since it is larger than the sum of its proper divisors (2203692615).

2527968825 is a wasteful number, since it uses less digits than its factorization.

2527968825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70735 (or 70724 counting only the distinct ones).

The product of its digits is 4838400, while the sum is 54.

The square root of 2527968825 is about 50278.9103402212. The cubic root of 2527968825 is about 1362.2513217838.

The spelling of 2527968825 in words is "two billion, five hundred twenty-seven million, nine hundred sixty-eight thousand, eight hundred twenty-five".