611099906589225 has 135 divisors (see below), whose sum is σ = 1139549862601557. Its totient is φ = 323751473622720.

The previous prime is 611099906589223. The next prime is 611099906589233. The reversal of 611099906589225 is 522985609990116.

The square root of 611099906589225 is 24720435.

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

611099906589225 is a `hidden beast` number, since 6 + 1 + 10 + 9 + 9 + 9 + 0 + 6 + 589 + 2 + 25 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 73909148343849 + 537190758245376 = 8597043^2 + 23177376^2 .

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

It is not a de Polignac number, because 611099906589225 - 2¹ = 611099906589223 is a prime.

It is a super-2 number, since 2×611099906589225² (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (611099906589223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 174649871526 + ... + 174649875024.

Almost surely, 2^{611099906589225} is an apocalyptic number.

611099906589225 is the 24720435-th square number.

611099906589225 is the 12360218-th centered octagonal number.

It is an amenable number.

611099906589225 is a deficient number, since it is larger than the sum of its proper divisors (528449956012332).

611099906589225 is an frugal number, since it uses more digits than its factorization.

611099906589225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7334 (or 3664 counting only the distinct ones).

The product of its (nonzero) digits is 188956800, while the sum is 72.

The spelling of 611099906589225 in words is "six hundred eleven trillion, ninety-nine billion, nine hundred six million, five hundred eighty-nine thousand, two hundred twenty-five".