190509309905121 has 27 divisors (see below), whose sum is σ = 276736788468049. Its totient is φ = 126291761029032.

The previous prime is 190509309905119. The next prime is 190509309905141. The reversal of 190509309905121 is 121509903905091.

The square root of 190509309905121 is 13802511.

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

190509309905121 is a `hidden beast` number, since 1 + 9 + 0 + 5 + 0 + 9 + 30 + 9 + 90 + 512 + 1 = 666.

190509309905121 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 190509309905121 - 2¹ = 190509309905119 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (190509309905141) 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, 7411935556 + ... + 7411961258.

Almost surely, 2^{190509309905121} is an apocalyptic number.

190509309905121 is the 13802511-st square number.

190509309905121 is the 6901256-th centered octagonal number.

It is an amenable number.

190509309905121 is a deficient number, since it is larger than the sum of its proper divisors (86227478562928).

190509309905121 is an frugal number, since it uses more digits than its factorization.

190509309905121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51770 (or 25885 counting only the distinct ones).

The product of its (nonzero) digits is 984150, while the sum is 54.

The spelling of 190509309905121 in words is "one hundred ninety trillion, five hundred nine billion, three hundred nine million, nine hundred five thousand, one hundred twenty-one".