512435536452 has 144 divisors (see below), whose sum is σ = 1490318374272. Its totient is φ = 145427788800.

The previous prime is 512435536447. The next prime is 512435536511. The reversal of 512435536452 is 254635534215.

512435536452 is a `hidden beast` number, since 5 + 1 + 2 + 43 + 553 + 6 + 4 + 52 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 512435536398 and 512435536407.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 52353903 + ... + 52363689.

Almost surely, 2^512435536452 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 512435536452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (745159187136).

512435536452 is an abundant number, since it is smaller than the sum of its proper divisors (977882837820).

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

512435536452 is a wasteful number, since it uses less digits than its factorization.

512435536452 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11178 (or 11173 counting only the distinct ones).

The product of its digits is 2160000, while the sum is 45.

The spelling of 512435536452 in words is "five hundred twelve billion, four hundred thirty-five million, five hundred thirty-six thousand, four hundred fifty-two".