19785015361225 has 27 divisors (see below), whose sum is σ = 25351232124981. Its totient is φ = 15316897483200.

The previous prime is 19785015361217. The next prime is 19785015361247. The reversal of 19785015361225 is 52216351058791.

The square root of 19785015361225 is 4448035.

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 6943715118649 + 12841300242576 = 2635093^2 + 3583476^2 .

It is not a de Polignac number, because 19785015361225 - 2³ = 19785015361217 is a prime.

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, 689431077 + ... + 689459773.

Almost surely, 2^{19785015361225} is an apocalyptic number.

19785015361225 is the 4448035-th square number.

19785015361225 is the 2224018-th centered octagonal number.

It is an amenable number.

19785015361225 is a deficient number, since it is larger than the sum of its proper divisors (5566216763756).

19785015361225 is an frugal number, since it uses more digits than its factorization.

19785015361225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57466 (or 28733 counting only the distinct ones).

The product of its (nonzero) digits is 4536000, while the sum is 55.

The spelling of 19785015361225 in words is "nineteen trillion, seven hundred eighty-five billion, fifteen million, three hundred sixty-one thousand, two hundred twenty-five".