513348360 has 256 divisors, whose sum is σ = 1838592000. Its totient is φ = 112223232.

The previous prime is 513348307. The next prime is 513348361. The reversal of 513348360 is 63843315.

It is not an unprimeable number, because it can be changed into a prime (513348361) 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, 2579541 + ... + 2579739.

It is an arithmetic number, because the mean of its divisors is an integer number (7182000).

Almost surely, 2^513348360 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 513348360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (919296000).

513348360 is an abundant number, since it is smaller than the sum of its proper divisors (1325243640).

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

513348360 is a wasteful number, since it uses less digits than its factorization.

513348360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 340 (or 336 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 33.

The square root of 513348360 is about 22657.1922355794. The cubic root of 513348360 is about 800.7016552533.

The spelling of 513348360 in words is "five hundred thirteen million, three hundred forty-eight thousand, three hundred sixty".