1506066516 has 144 divisors (see below), whose sum is σ = 4125401280. Its totient is φ = 461583360.

The previous prime is 1506066503. The next prime is 1506066547. The reversal of 1506066516 is 6156606051.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7137651 + ... + 7137861.

It is an arithmetic number, because the mean of its divisors is an integer number (28648620).

Almost surely, 2^1506066516 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 1506066516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2062700640).

1506066516 is an abundant number, since it is smaller than the sum of its proper divisors (2619334764).

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

1506066516 is a wasteful number, since it uses less digits than its factorization.

1506066516 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 454 (or 449 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The square root of 1506066516 is about 38808.0728199688. The cubic root of 1506066516 is about 1146.2553728560.

The spelling of 1506066516 in words is "one billion, five hundred six million, sixty-six thousand, five hundred sixteen".