513489312 has 144 divisors (see below), whose sum is σ = 1726583040. Its totient is φ = 141636096.

The previous prime is 513489311. The next prime is 513489323. The reversal of 513489312 is 213984315.

513489312 is a `hidden beast` number, since 513 + 48 + 93 + 12 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (513489311) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 54073 + ... + 62855.

It is an arithmetic number, because the mean of its divisors is an integer number (11990160).

Almost surely, 2^513489312 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 513489312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (863291520).

513489312 is an abundant number, since it is smaller than the sum of its proper divisors (1213093728).

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

513489312 is a wasteful number, since it uses less digits than its factorization.

513489312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8835 (or 8824 counting only the distinct ones).

The product of its digits is 25920, while the sum is 36.

The square root of 513489312 is about 22660.3025575565. The cubic root of 513489312 is about 800.7749324406.

The spelling of 513489312 in words is "five hundred thirteen million, four hundred eighty-nine thousand, three hundred twelve".