513716280 has 256 divisors, whose sum is σ = 1959552000. Its totient is φ = 104632320.

The previous prime is 513716279. The next prime is 513716297. The reversal of 513716280 is 82617315.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 489196 + ... + 490244.

It is an arithmetic number, because the mean of its divisors is an integer number (7654500).

Almost surely, 2^513716280 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 513716280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (979776000).

513716280 is an abundant number, since it is smaller than the sum of its proper divisors (1445835720).

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

513716280 is a wasteful number, since it uses less digits than its factorization.

513716280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1134 (or 1130 counting only the distinct ones).

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

The square root of 513716280 is about 22665.3100574424. The cubic root of 513716280 is about 800.8928988771.

The spelling of 513716280 in words is "five hundred thirteen million, seven hundred sixteen thousand, two hundred eighty".