513424544025312 has 72 divisors (see below), whose sum is σ = 1476456115090320. Its totient is φ = 169218576299520.

The previous prime is 513424544025229. The next prime is 513424544025461. The reversal of 513424544025312 is 213520445424315.

513424544025312 is a `hidden beast` number, since 5 + 1 + 3 + 4 + 24 + 54 + 40 + 2 + 531 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-3 number, since 3×513424544025312³ (a number of 45 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10015278364 + ... + 10015329627.

It is an arithmetic number, because the mean of its divisors is an integer number (20506334931810).

Almost surely, 2^{513424544025312} is an apocalyptic number.

It is an amenable number.

513424544025312 is an abundant number, since it is smaller than the sum of its proper divisors (963031571065008).

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

513424544025312 is a wasteful number, since it uses less digits than its factorization.

513424544025312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20030608096 (or 20030608085 counting only the distinct ones).

The product of its (nonzero) digits is 2304000, while the sum is 45.

Adding to 513424544025312 its reverse (213520445424315), we get a palindrome (726944989449627).

The spelling of 513424544025312 in words is "five hundred thirteen trillion, four hundred twenty-four billion, five hundred forty-four million, twenty-five thousand, three hundred twelve".