513989280 has 384 divisors, whose sum is σ = 2148249600. Its totient is φ = 112223232.

The previous prime is 513989279. The next prime is 513989291. The reversal of 513989280 is 82989315.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 695151 + ... + 695889.

It is an arithmetic number, because the mean of its divisors is an integer number (5594400).

Almost surely, 2^513989280 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 513989280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1074124800).

513989280 is an abundant number, since it is smaller than the sum of its proper divisors (1634260320).

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

513989280 is a wasteful number, since it uses less digits than its factorization.

513989280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 793 (or 779 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 45.

The square root of 513989280 is about 22671.3316768116. The cubic root of 513989280 is about 801.0347443864.

The spelling of 513989280 in words is "five hundred thirteen million, nine hundred eighty-nine thousand, two hundred eighty".