191349379225 has 27 divisors (see below), whose sum is σ = 240213544093. Its totient is φ = 151205531840.

The previous prime is 191349379219. The next prime is 191349379241. The reversal of 191349379225 is 522973943191.

The square root of 191349379225 is 437435.

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

191349379225 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 39819803401 + 151529575824 = 199549^2 + 389268^2 .

It is not a de Polignac number, because 191349379225 - 2³ = 191349379217 is a prime.

It is a super-2 number, since 2×191349379225² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 194658084 + ... + 194659066.

Almost surely, 2^191349379225 is an apocalyptic number.

191349379225 is the 437435-th square number.

191349379225 is the 218718-th centered octagonal number.

It is an amenable number.

191349379225 is a deficient number, since it is larger than the sum of its proper divisors (48864164868).

191349379225 is an frugal number, since it uses more digits than its factorization.

191349379225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2154 (or 1077 counting only the distinct ones).

The product of its digits is 3674160, while the sum is 55.

The spelling of 191349379225 in words is "one hundred ninety-one billion, three hundred forty-nine million, three hundred seventy-nine thousand, two hundred twenty-five".