32505152 has 28 divisors (see below), whose sum is σ = 65141856. Its totient is φ = 16091520.

The previous prime is 32505113. The next prime is 32505157. The reversal of 32505152 is 25150523.

It is a super-3 number, since 3×32505152³ (a number of 24 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (23) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32505157) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4127 + ... + 9057.

Almost surely, 2^32505152 is an apocalyptic number.

32505152 is a gapful number since it is divisible by the number (32) 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 32505152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32570928).

32505152 is an abundant number, since it is smaller than the sum of its proper divisors (32636704).

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

32505152 is a wasteful number, since it uses less digits than its factorization.

32505152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5046 (or 5036 counting only the distinct ones).

The product of its (nonzero) digits is 1500, while the sum is 23.

The square root of 32505152 is about 5701.3289678811. The cubic root of 32505152 is about 319.1420769557.

Adding to 32505152 its reverse (25150523), we get a palindrome (57655675).

The spelling of 32505152 in words is "thirty-two million, five hundred five thousand, one hundred fifty-two".