1506313312 has 192 divisors, whose sum is σ = 3773952000. Its totient is φ = 589317120.

The previous prime is 1506313297. The next prime is 1506313337. The reversal of 1506313312 is 2133136051.

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 31 ways as a sum of consecutive naturals, for example, 6464748 + ... + 6464980.

It is an arithmetic number, because the mean of its divisors is an integer number (19656000).

Almost surely, 2^1506313312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1506313312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1886976000).

1506313312 is an abundant number, since it is smaller than the sum of its proper divisors (2267638688).

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

1506313312 is a wasteful number, since it uses less digits than its factorization.

1506313312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 314 (or 292 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 25.

The square root of 1506313312 is about 38811.2523889658. The cubic root of 1506313312 is about 1146.3179809341.

Adding to 1506313312 its reverse (2133136051), we get a palindrome (3639449363).

The spelling of 1506313312 in words is "one billion, five hundred six million, three hundred thirteen thousand, three hundred twelve".