513233468352 has 1344 divisors, whose sum is σ = 1879684531200. Its totient is φ = 136492646400.

The previous prime is 513233468317. The next prime is 513233468353. The reversal of 513233468352 is 253864332315.

513233468352 is a `hidden beast` number, since 5 + 1 + 3 + 233 + 4 + 68 + 352 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 513233468298 and 513233468307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (513233468353) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3746229628 + ... + 3746229764.

It is an arithmetic number, because the mean of its divisors is an integer number (1398574800).

Almost surely, 2^513233468352 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 513233468352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (939842265600).

513233468352 is an abundant number, since it is smaller than the sum of its proper divisors (1366451062848).

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

513233468352 is a wasteful number, since it uses less digits than its factorization.

513233468352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 263 (or 236 counting only the distinct ones).

The product of its digits is 1555200, while the sum is 45.

The spelling of 513233468352 in words is "five hundred thirteen billion, two hundred thirty-three million, four hundred sixty-eight thousand, three hundred fifty-two".