18532512 has 72 divisors (see below), whose sum is σ = 53120340. Its totient is φ = 6128640.

The previous prime is 18532463. The next prime is 18532517. The reversal of 18532512 is 21523581.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 16353936 + 2178576 = 4044^2 + 1476^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (18532517) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 65812 + ... + 66092.

Almost surely, 2^18532512 is an apocalyptic number.

18532512 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 18532512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26560170).

18532512 is an abundant number, since it is smaller than the sum of its proper divisors (34587828).

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

18532512 is a wasteful number, since it uses less digits than its factorization.

18532512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 526 (or 515 counting only the distinct ones).

The product of its digits is 2400, while the sum is 27.

The square root of 18532512 is about 4304.9404177061. The cubic root of 18532512 is about 264.6334650180.

It can be divided in two parts, 18532 and 512, that added together give a square (19044 = 138²).

The spelling of 18532512 in words is "eighteen million, five hundred thirty-two thousand, five hundred twelve".