2493667348225 has 81 divisors (see below), whose sum is σ = 3237968865019. Its totient is φ = 1905068464000.

The previous prime is 2493667348219. The next prime is 2493667348253. The reversal of 2493667348225 is 5228437663942.

The square root of 2493667348225 is 1579135.

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

It can be written as a sum of positive squares in 13 ways, for example, as 31391689329 + 2462275658896 = 177177^2 + 1569164^2 .

It is not a de Polignac number, because 2493667348225 - 2⁷ = 2493667348097 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 24689775675 + ... + 24689775775.

Almost surely, 2^{2493667348225} is an apocalyptic number.

2493667348225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

2493667348225 is the 1579135-th square number.

2493667348225 is the 789568-th centered octagonal number.

It is an amenable number.

2493667348225 is a deficient number, since it is larger than the sum of its proper divisors (744301516794).

2493667348225 is an frugal number, since it uses more digits than its factorization.

2493667348225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 436 (or 218 counting only the distinct ones).

The product of its digits is 104509440, while the sum is 61.

The spelling of 2493667348225 in words is "two trillion, four hundred ninety-three billion, six hundred sixty-seven million, three hundred forty-eight thousand, two hundred twenty-five".