19095020946225 has 81 divisors (see below), whose sum is σ = 39786146588097. Its totient is φ = 8728942682880.

The previous prime is 19095020946193. The next prime is 19095020946259. The reversal of 19095020946225 is 52264902059091.

The square root of 19095020946225 is 4369785.

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

19095020946225 is a `hidden beast` number, since 1 + 9 + 0 + 9 + 5 + 0 + 2 + 0 + 9 + 4 + 622 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 6695016525729 + 12400004420496 = 2587473^2 + 3521364^2 .

It is not a de Polignac number, because 19095020946225 - 2⁵ = 19095020946193 is a prime.

It is a Curzon 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, 458806617 + ... + 458848233.

Almost surely, 2^{19095020946225} is an apocalyptic number.

19095020946225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

19095020946225 is the 4369785-th square number.

19095020946225 is the 2184893-rd centered octagonal number.

It is an amenable number.

19095020946225 is an abundant number, since it is smaller than the sum of its proper divisors (20691125641872).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

19095020946225 is an frugal number, since it uses more digits than its factorization.

19095020946225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83264 (or 41632 counting only the distinct ones).

The product of its (nonzero) digits is 3499200, while the sum is 54.

The spelling of 19095020946225 in words is "nineteen trillion, ninety-five billion, twenty million, nine hundred forty-six thousand, two hundred twenty-five".