5005777061225 has 12 divisors (see below), whose sum is σ = 6374924734284. Its totient is φ = 3896388630720.

The previous prime is 5005777061203. The next prime is 5005777061279. The reversal of 5005777061225 is 5221607775005.

It can be written as a sum of positive squares in 6 ways, for example, as 275591401024 + 4730185660201 = 524968^2 + 2174899^2 .

It is not a de Polignac number, because 5005777061225 - 2⁸ = 5005777060969 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 5005777061225.

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, 2705824514 + ... + 2705826363.

It is an arithmetic number, because the mean of its divisors is an integer number (531243727857).

Almost surely, 2^{5005777061225} is an apocalyptic number.

It is an amenable number.

5005777061225 is a deficient number, since it is larger than the sum of its proper divisors (1369147673059).

5005777061225 is a wasteful number, since it uses less digits than its factorization.

5005777061225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5411650924 (or 5411650919 counting only the distinct ones).

The product of its (nonzero) digits is 1029000, while the sum is 47.

The spelling of 5005777061225 in words is "five trillion, five billion, seven hundred seventy-seven million, sixty-one thousand, two hundred twenty-five".