513578472 has 64 divisors (see below), whose sum is σ = 1403343360. Its totient is φ = 155332800.

The previous prime is 513578467. The next prime is 513578479. The reversal of 513578472 is 274875315.

It is not an unprimeable number, because it can be changed into a prime (513578479) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 165043 + ... + 168125.

It is an arithmetic number, because the mean of its divisors is an integer number (21927240).

Almost surely, 2^513578472 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 513578472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (701671680).

513578472 is an abundant number, since it is smaller than the sum of its proper divisors (889764888).

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

513578472 is a wasteful number, since it uses less digits than its factorization.

513578472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3734 (or 3730 counting only the distinct ones).

The product of its digits is 235200, while the sum is 42.

The square root of 513578472 is about 22662.2697892334. The cubic root of 513578472 is about 800.8212774241.

The spelling of 513578472 in words is "five hundred thirteen million, five hundred seventy-eight thousand, four hundred seventy-two".