6497579431225 has 27 divisors (see below), whose sum is σ = 8212739418093. Its totient is φ = 5099456675040.

The previous prime is 6497579431201. The next prime is 6497579431261. The reversal of 6497579431225 is 5221349757946.

The square root of 6497579431225 is 2549035.

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

It can be written as a sum of positive squares in 4 ways, for example, as 48945810169 + 6448633621056 = 221237^2 + 2539416^2 .

It is not a de Polignac number, because 6497579431225 - 2²³ = 6497571042617 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 675489466 + ... + 675499084.

Almost surely, 2^{6497579431225} is an apocalyptic number.

6497579431225 is the 2549035-th square number.

6497579431225 is the 1274518-th centered octagonal number.

It is an amenable number.

6497579431225 is a deficient number, since it is larger than the sum of its proper divisors (1715159986868).

6497579431225 is an frugal number, since it uses more digits than its factorization.

6497579431225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19354 (or 9677 counting only the distinct ones).

The product of its digits is 114307200, while the sum is 64.

Multiplying 6497579431225 by its sum of digits (64), we get a square (415845083598400 = 20392280²).

The spelling of 6497579431225 in words is "six trillion, four hundred ninety-seven billion, five hundred seventy-nine million, four hundred thirty-one thousand, two hundred twenty-five".