6493399686225 has 135 divisors (see below), whose sum is σ = 12781007926401. Its totient is φ = 3258453484800.

The previous prime is 6493399686211. The next prime is 6493399686227. The reversal of 6493399686225 is 5226869933946.

The square root of 6493399686225 is 2548215.

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

6493399686225 is a `hidden beast` number, since 6 + 4 + 9 + 3 + 399 + 6 + 8 + 6 + 225 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 151887134529 + 6341512551696 = 389727^2 + 2518236^2 .

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

It is not a de Polignac number, because 6493399686225 - 2⁹ = 6493399685713 is a prime.

It is not an unprimeable number, because it can be changed into a prime (6493399686227) 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, 1949382810 + ... + 1949386140.

Almost surely, 2^{6493399686225} is an apocalyptic number.

6493399686225 is the 2548215-th square number.

6493399686225 is the 1274108-th centered octagonal number.

It is an amenable number.

6493399686225 is a deficient number, since it is larger than the sum of its proper divisors (6287608240176).

6493399686225 is an frugal number, since it uses more digits than its factorization.

6493399686225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6718 (or 3356 counting only the distinct ones).

The product of its digits is 906992640, while the sum is 72.

The spelling of 6493399686225 in words is "six trillion, four hundred ninety-three billion, three hundred ninety-nine million, six hundred eighty-six thousand, two hundred twenty-five".