1509325668 has 72 divisors (see below), whose sum is σ = 3881928960. Its totient is φ = 494363520.

The previous prime is 1509325663. The next prime is 1509325681. The reversal of 1509325668 is 8665239051.

1509325668 is a `hidden beast` number, since 1 + 50 + 9 + 32 + 566 + 8 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (1509325663) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 937248 + ... + 938856.

It is an arithmetic number, because the mean of its divisors is an integer number (53915680).

Almost surely, 2^1509325668 is an apocalyptic number.

1509325668 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1509325668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1940964480).

1509325668 is an abundant number, since it is smaller than the sum of its proper divisors (2372603292).

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

1509325668 is a wasteful number, since it uses less digits than its factorization.

1509325668 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2057 (or 2052 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

The square root of 1509325668 is about 38850.0407721794. The cubic root of 1509325668 is about 1147.0816154543.

The spelling of 1509325668 in words is "one billion, five hundred nine million, three hundred twenty-five thousand, six hundred sixty-eight".