1613288144 has 20 divisors (see below), whose sum is σ = 3366188196. Its totient is φ = 744594432.

The previous prime is 1613288123. The next prime is 1613288161. The reversal of 1613288144 is 4418823161.

It can be written as a sum of positive squares in 2 ways, for example, as 551310400 + 1061977744 = 23480^2 + 32588^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1613288098 and 1613288107.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3877889 + ... + 3878304.

Almost surely, 2^1613288144 is an apocalyptic number.

It is an amenable number.

1613288144 is an abundant number, since it is smaller than the sum of its proper divisors (1752900052).

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

1613288144 is a wasteful number, since it uses less digits than its factorization.

1613288144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7756214 (or 7756208 counting only the distinct ones).

The product of its digits is 36864, while the sum is 38.

The square root of 1613288144 is about 40165.7583521088. The cubic root of 1613288144 is about 1172.8360701360.

The spelling of 1613288144 in words is "one billion, six hundred thirteen million, two hundred eighty-eight thousand, one hundred forty-four".