609181811001 has 27 divisors (see below), whose sum is σ = 928746653679. Its totient is φ = 384718308912.

The previous prime is 609181810981. The next prime is 609181811047. The reversal of 609181811001 is 100118181906.

The square root of 609181811001 is 780501.

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

It can be written as a sum of positive squares in only one way, i.e., 608470202025 + 711608976 = 780045^2 + 26676^2 .

It is not a de Polignac number, because 609181811001 - 2¹¹ = 609181808953 is a prime.

It is a super-2 number, since 2×609181811001² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (609181815001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 44481711 + ... + 44495403.

Almost surely, 2^609181811001 is an apocalyptic number.

609181811001 is the 780501-st square number.

609181811001 is the 390251-st centered octagonal number.

It is an amenable number.

609181811001 is a deficient number, since it is larger than the sum of its proper divisors (319564842678).

609181811001 is an frugal number, since it uses more digits than its factorization.

609181811001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27430 (or 13715 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 36.

Multiplying 609181811001 by its sum of digits (36), we get a square (21930545196036 = 4683006²).

Adding to 609181811001 its reverse (100118181906), we get a palindrome (709299992907).

The spelling of 609181811001 in words is "six hundred nine billion, one hundred eighty-one million, eight hundred eleven thousand, one".