513552365152 has 96 divisors (see below), whose sum is σ = 1088930866464. Its totient is φ = 237523968000.

The previous prime is 513552365143. The next prime is 513552365159. The reversal of 513552365152 is 251563255315.

It is a hoax number, since the sum of its digits (43) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 513552365099 and 513552365108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (513552365159) 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 15 ways as a sum of consecutive naturals, for example, 48211027 + ... + 48221677.

It is an arithmetic number, because the mean of its divisors is an integer number (11343029859).

Almost surely, 2^513552365152 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 513552365152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (544465433232).

513552365152 is an abundant number, since it is smaller than the sum of its proper divisors (575378501312).

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

513552365152 is a wasteful number, since it uses less digits than its factorization.

513552365152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12192 (or 12184 counting only the distinct ones).

The product of its digits is 675000, while the sum is 43.

The spelling of 513552365152 in words is "five hundred thirteen billion, five hundred fifty-two million, three hundred sixty-five thousand, one hundred fifty-two".