1613331306 has 96 divisors (see below), whose sum is σ = 3888518400. Its totient is φ = 481299840.

The previous prime is 1613331283. The next prime is 1613331311. The reversal of 1613331306 is 6031333161.

1613331306 is a `hidden beast` number, since 1 + 613 + 33 + 13 + 0 + 6 = 666.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 1613331306.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 464416 + ... + 467876.

It is an arithmetic number, because the mean of its divisors is an integer number (40505400).

Almost surely, 2^1613331306 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1613331306, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1944259200).

1613331306 is an abundant number, since it is smaller than the sum of its proper divisors (2275187094).

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

1613331306 is a wasteful number, since it uses less digits than its factorization.

1613331306 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3564 (or 3561 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 27.

The square root of 1613331306 is about 40166.2956469725. The cubic root of 1613331306 is about 1172.8465294163.

Adding to 1613331306 its reverse (6031333161), we get a palindrome (7644664467).

The spelling of 1613331306 in words is "one billion, six hundred thirteen million, three hundred thirty-one thousand, three hundred six".