16532500 has 60 divisors (see below), whose sum is σ = 38378340. Its totient is φ = 6208000.

The previous prime is 16532473. The next prime is 16532507. The reversal of 16532500 is 523561.

It is a happy number.

It can be written as a sum of positive squares in 10 ways, for example, as 12588304 + 3944196 = 3548^2 + 1986^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16532507) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 42306 + ... + 42694.

It is an arithmetic number, because the mean of its divisors is an integer number (639639).

Almost surely, 2^16532500 is an apocalyptic number.

16532500 is a gapful number since it is divisible by the number (10) 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 16532500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19189170).

16532500 is an abundant number, since it is smaller than the sum of its proper divisors (21845840).

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

16532500 is a wasteful number, since it uses less digits than its factorization.

16532500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 430 (or 413 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 22.

The square root of 16532500 is about 4066.0177077824. The cubic root of 16532500 is about 254.7492087666.

The spelling of 16532500 in words is "sixteen million, five hundred thirty-two thousand, five hundred".