513213103324240 has 160 divisors (see below), whose sum is σ = 1302709531968000. Its totient is φ = 186477530534400.

The previous prime is 513213103324213. The next prime is 513213103324301. The reversal of 513213103324240 is 42423301312315.

It is a junction number, because it is equal to n+sod(n) for n = 513213103324196 and 513213103324205.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16477112347 + ... + 16477143493.

It is an arithmetic number, because the mean of its divisors is an integer number (8141934574800).

Almost surely, 2^{513213103324240} 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 513213103324240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (651354765984000).

513213103324240 is an abundant number, since it is smaller than the sum of its proper divisors (789496428643760).

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

513213103324240 is a wasteful number, since it uses less digits than its factorization.

513213103324240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45161 (or 45155 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 34.

Adding to 513213103324240 its reverse (42423301312315), we get a palindrome (555636404636555).

The spelling of 513213103324240 in words is "five hundred thirteen trillion, two hundred thirteen billion, one hundred three million, three hundred twenty-four thousand, two hundred forty".