513127680 has 288 divisors, whose sum is σ = 1861184640. Its totient is φ = 119439360.

The previous prime is 513127679. The next prime is 513127687. The reversal of 513127680 is 86721315.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (513127687) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 948210 + ... + 948750.

Almost surely, 2^513127680 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 513127680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (930592320).

513127680 is an abundant number, since it is smaller than the sum of its proper divisors (1348056960).

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

513127680 is a wasteful number, since it uses less digits than its factorization.

513127680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 597 (or 583 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 33.

The square root of 513127680 is about 22652.3217353100. The cubic root of 513127680 is about 800.5869026596.

Adding to 513127680 its reverse (86721315), we get a palindrome (599848995).

The spelling of 513127680 in words is "five hundred thirteen million, one hundred twenty-seven thousand, six hundred eighty".