191043297225 has 135 divisors (see below), whose sum is σ = 389414599959. Its totient is φ = 92522152800.

The previous prime is 191043297157. The next prime is 191043297227. The reversal of 191043297225 is 522792340191.

The square root of 191043297225 is 437085.

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

191043297225 is a `hidden beast` number, since 191 + 0 + 432 + 9 + 7 + 2 + 25 = 666.

It can be written as a sum of positive squares in only one way, i.e., 68775587001 + 122267710224 = 262251^2 + 349668^2 .

It is a tau number, because it is divible by the number of its divisors (135).

It is not a de Polignac number, because 191043297225 - 2²¹ = 191041200073 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (191043297227) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 216356634 + ... + 216357516.

Almost surely, 2^191043297225 is an apocalyptic number.

191043297225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

191043297225 is the 437085-th square number.

191043297225 is the 218543-rd centered octagonal number.

It is an amenable number.

191043297225 is an abundant number, since it is smaller than the sum of its proper divisors (198371302734).

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

191043297225 is an frugal number, since it uses more digits than its factorization.

191043297225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1810 (or 902 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The spelling of 191043297225 in words is "one hundred ninety-one billion, forty-three million, two hundred ninety-seven thousand, two hundred twenty-five".