182225513520 has 480 divisors, whose sum is σ = 649089080640. Its totient is φ = 45757071360.

The previous prime is 182225513473. The next prime is 182225513527. The reversal of 182225513520 is 25315522281.

182225513520 is a `hidden beast` number, since 1 + 82 + 2 + 2 + 5 + 51 + 3 + 520 = 666.

182225513520 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×182225513520² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (182225513527) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 112972234 + ... + 112973846.

It is an arithmetic number, because the mean of its divisors is an integer number (1352268918).

Almost surely, 2^182225513520 is an apocalyptic number.

182225513520 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 182225513520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (324544540320).

182225513520 is an abundant number, since it is smaller than the sum of its proper divisors (466863567120).

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

182225513520 is a wasteful number, since it uses less digits than its factorization.

182225513520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1805 (or 1796 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 36.

The spelling of 182225513520 in words is "one hundred eighty-two billion, two hundred twenty-five million, five hundred thirteen thousand, five hundred twenty".