512181225613152 has 144 divisors (see below), whose sum is σ = 1467660057095232. Its totient is φ = 169420783783680.

The previous prime is 512181225613121. The next prime is 512181225613217. The reversal of 512181225613152 is 251316522181215.

512181225613152 is a `hidden beast` number, since 5 + 1 + 2 + 1 + 8 + 1 + 2 + 2 + 561 + 31 + 52 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a junction number, because it is equal to n+sod(n) for n = 512181225613098 and 512181225613107.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3289313283 + ... + 3289468989.

It is an arithmetic number, because the mean of its divisors is an integer number (10192083729828).

Almost surely, 2^{512181225613152} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 512181225613152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (733830028547616).

512181225613152 is an abundant number, since it is smaller than the sum of its proper divisors (955478831482080).

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

512181225613152 is a wasteful number, since it uses less digits than its factorization.

512181225613152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 243041 (or 243030 counting only the distinct ones).

The product of its digits is 288000, while the sum is 45.

Adding to 512181225613152 its reverse (251316522181215), we get a palindrome (763497747794367).

The spelling of 512181225613152 in words is "five hundred twelve trillion, one hundred eighty-one billion, two hundred twenty-five million, six hundred thirteen thousand, one hundred fifty-two".