19585094505025 has 27 divisors (see below), whose sum is σ = 28250723010531. Its totient is φ = 13429672877040.

The previous prime is 19585094505001. The next prime is 19585094505043. The reversal of 19585094505025 is 52050549058591.

The square root of 19585094505025 is 4425505.

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

It can be written as a sum of positive squares in only one way, i.e., 7050634021809 + 12534460483216 = 2655303^2 + 3540404^2 .

It is a de Polignac number, because none of the positive numbers 2^k-19585094505025 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, 154829454 + ... + 154955896.

Almost surely, 2^{19585094505025} is an apocalyptic number.

19585094505025 is the 4425505-th square number.

19585094505025 is the 2212753-rd centered octagonal number.

It is an amenable number.

19585094505025 is a deficient number, since it is larger than the sum of its proper divisors (8665628505506).

19585094505025 is an frugal number, since it uses more digits than its factorization.

19585094505025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 252910 (or 126455 counting only the distinct ones).

The product of its (nonzero) digits is 16200000, while the sum is 58.

The spelling of 19585094505025 in words is "nineteen trillion, five hundred eighty-five billion, ninety-four million, five hundred five thousand, twenty-five".