13251398221009 has 27 divisors (see below), whose sum is σ = 14490041564817. Its totient is φ = 12113111185344.

The previous prime is 13251398220967. The next prime is 13251398221013. The reversal of 13251398221009 is 90012289315231.

The square root of 13251398221009 is 3640247.

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 738057964609 + 12513340256400 = 859103^2 + 3537420^2 .

It is not a de Polignac number, because 13251398221009 - 2⁹ = 13251398220497 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 13251398221009.

It is not an unprimeable number, because it can be changed into a prime (13251398221099) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 5063582269 + ... + 5063584885.

Almost surely, 2^{13251398221009} is an apocalyptic number.

13251398221009 is the 3640247-th square number.

13251398221009 is the 1820124-th centered octagonal number.

It is an amenable number.

13251398221009 is a deficient number, since it is larger than the sum of its proper divisors (1238643343808).

13251398221009 is an frugal number, since it uses more digits than its factorization.

13251398221009 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5474 (or 2737 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 46.

The spelling of 13251398221009 in words is "thirteen trillion, two hundred fifty-one billion, three hundred ninety-eight million, two hundred twenty-one thousand, nine".