513424434024640 has 224 divisors, whose sum is σ = 1256861715278400. Its totient is φ = 199624130297856.

The previous prime is 513424434024487. The next prime is 513424434024709. The reversal of 513424434024640 is 46420434424315.

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, 67123075536 + ... + 67123083184.

It is an arithmetic number, because the mean of its divisors is an integer number (5610989800350).

Almost surely, 2^{513424434024640} 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 513424434024640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (628430857639200).

513424434024640 is an abundant number, since it is smaller than the sum of its proper divisors (743437281253760).

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

513424434024640 is a wasteful number, since it uses less digits than its factorization.

513424434024640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12499 (or 12489 counting only the distinct ones).

The product of its (nonzero) digits is 4423680, while the sum is 46.

Adding to 513424434024640 its reverse (46420434424315), we get a palindrome (559844868448955).

The spelling of 513424434024640 in words is "five hundred thirteen trillion, four hundred twenty-four billion, four hundred thirty-four million, twenty-four thousand, six hundred forty".