1506533952 has 224 divisors, whose sum is σ = 5005937664. Its totient is φ = 388454400.

The previous prime is 1506533909. The next prime is 1506533953. The reversal of 1506533952 is 2593356051.

It is a tau number, because it is divible by the number of its divisors (224).

It is a self number, because there is not a number n which added to its sum of digits gives 1506533952.

It is not an unprimeable number, because it can be changed into a prime (1506533953) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2675623 + ... + 2676185.

It is an arithmetic number, because the mean of its divisors is an integer number (22347936).

Almost surely, 2^1506533952 is an apocalyptic number.

1506533952 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 1506533952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2502968832).

1506533952 is an abundant number, since it is smaller than the sum of its proper divisors (3499403712).

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

1506533952 is a wasteful number, since it uses less digits than its factorization.

1506533952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 777 (or 767 counting only the distinct ones).

The product of its (nonzero) digits is 121500, while the sum is 39.

The square root of 1506533952 is about 38814.0947595071. The cubic root of 1506533952 is about 1146.3739478765.

The spelling of 1506533952 in words is "one billion, five hundred six million, five hundred thirty-three thousand, nine hundred fifty-two".