513731680 has 384 divisors, whose sum is σ = 1654732800. Its totient is φ = 149022720.

The previous prime is 513731677. The next prime is 513731689. The reversal of 513731680 is 86137315.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (513731689) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13884622 + ... + 13884658.

It is an arithmetic number, because the mean of its divisors is an integer number (4309200).

Almost surely, 2^513731680 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 513731680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (827366400).

513731680 is an abundant number, since it is smaller than the sum of its proper divisors (1141001120).

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

513731680 is a wasteful number, since it uses less digits than its factorization.

513731680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107 (or 85 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 34.

The square root of 513731680 is about 22665.6497811115. The cubic root of 513731680 is about 800.9009017559.

Adding to 513731680 its reverse (86137315), we get a palindrome (599868995).

The spelling of 513731680 in words is "five hundred thirteen million, seven hundred thirty-one thousand, six hundred eighty".