1506006012 has 48 divisors (see below), whose sum is σ = 4030371072. Its totient is φ = 428749440.

The previous prime is 1506006011. The next prime is 1506006037. The reversal of 1506006012 is 2106006051.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 1506006012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1506006011) 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 15 ways as a sum of consecutive naturals, for example, 8298 + ... + 55505.

It is an arithmetic number, because the mean of its divisors is an integer number (83966064).

Almost surely, 2^1506006012 is an apocalyptic number.

1506006012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1506006012 is an abundant number, since it is smaller than the sum of its proper divisors (2524365060).

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

1506006012 is a wasteful number, since it uses less digits than its factorization.

1506006012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64098 (or 64096 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 21.

The square root of 1506006012 is about 38807.2932836084. The cubic root of 1506006012 is about 1146.2400229443.

The spelling of 1506006012 in words is "one billion, five hundred six million, six thousand, twelve".