18513252 has 96 divisors (see below), whose sum is σ = 52012800. Its totient is φ = 5677056.

The previous prime is 18513217. The next prime is 18513259. The reversal of 18513252 is 25231581.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (18513259) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 71908 + ... + 72164.

It is an arithmetic number, because the mean of its divisors is an integer number (541800).

Almost surely, 2^18513252 is an apocalyptic number.

18513252 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 18513252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26006400).

18513252 is an abundant number, since it is smaller than the sum of its proper divisors (33499548).

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

18513252 is a wasteful number, since it uses less digits than its factorization.

18513252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 322 (or 314 counting only the distinct ones).

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

The square root of 18513252 is about 4302.7028714519. The cubic root of 18513252 is about 264.5417593857.

The spelling of 18513252 in words is "eighteen million, five hundred thirteen thousand, two hundred fifty-two".