1506604512 has 192 divisors, whose sum is σ = 4765630464. Its totient is φ = 407447040.

The previous prime is 1506604483. The next prime is 1506604537. The reversal of 1506604512 is 2154066051.

It is a self number, because there is not a number n which added to its sum of digits gives 1506604512.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 1653337 + ... + 1654247.

It is an arithmetic number, because the mean of its divisors is an integer number (24820992).

Almost surely, 2^1506604512 is an apocalyptic number.

1506604512 is a gapful number since it is divisible by the number (12) 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 1506604512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2382815232).

1506604512 is an abundant number, since it is smaller than the sum of its proper divisors (3259025952).

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

1506604512 is a wasteful number, since it uses less digits than its factorization.

1506604512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1061 (or 1053 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 30.

The square root of 1506604512 is about 38815.0036970242. The cubic root of 1506604512 is about 1146.3918447810.

The spelling of 1506604512 in words is "one billion, five hundred six million, six hundred four thousand, five hundred twelve".