513340512 has 48 divisors (see below), whose sum is σ = 1349151552. Its totient is φ = 170906240.

The previous prime is 513340511. The next prime is 513340523. The reversal of 513340512 is 215043315.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (513340511) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 90463 + ... + 95969.

It is an arithmetic number, because the mean of its divisors is an integer number (28107324).

Almost surely, 2^513340512 is an apocalyptic number.

It is an amenable number.

513340512 is an abundant number, since it is smaller than the sum of its proper divisors (835811040).

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

513340512 is a wasteful number, since it uses less digits than its factorization.

513340512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6491 (or 6483 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 24.

The square root of 513340512 is about 22657.0190448788. The cubic root of 513340512 is about 800.6975748931.

Adding to 513340512 its reverse (215043315), we get a palindrome (728383827).

The spelling of 513340512 in words is "five hundred thirteen million, three hundred forty thousand, five hundred twelve".