19509314794225 has 27 divisors (see below), whose sum is σ = 24249388352481. Its totient is φ = 15570225907200.

The previous prime is 19509314794213. The next prime is 19509314794433. The reversal of 19509314794225 is 52249741390591.

The square root of 19509314794225 is 4416935.

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 5508516962529 + 14000797831696 = 2347023^2 + 3741764^2 .

It is not a de Polignac number, because 19509314794225 - 2³³ = 19500724859633 is a prime.

It is a super-2 number, since 2×19509314794225² (a number of 27 digits) contains 22 as substring.

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, 12742856710 + ... + 12742858240.

Almost surely, 2^{19509314794225} is an apocalyptic number.

19509314794225 is the 4416935-th square number.

19509314794225 is the 2208468-th centered octagonal number.

It is an amenable number.

19509314794225 is a deficient number, since it is larger than the sum of its proper divisors (4740073558256).

19509314794225 is an frugal number, since it uses more digits than its factorization.

19509314794225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4226 (or 2113 counting only the distinct ones).

The product of its (nonzero) digits is 24494400, while the sum is 61.

The spelling of 19509314794225 in words is "nineteen trillion, five hundred nine billion, three hundred fourteen million, seven hundred ninety-four thousand, two hundred twenty-five".