513605424 has 40 divisors (see below), whose sum is σ = 1333712752. Its totient is φ = 170311680.

The previous prime is 513605423. The next prime is 513605429. The reversal of 513605424 is 424506315.

It is a junction number, because it is equal to n+sod(n) for n = 513605391 and 513605400.

It is not an unprimeable number, because it can be changed into a prime (513605423) 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, 18457 + ... + 36984.

Almost surely, 2^513605424 is an apocalyptic number.

It is an amenable number.

513605424 is an abundant number, since it is smaller than the sum of its proper divisors (820107328).

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

513605424 is a wasteful number, since it uses less digits than its factorization.

513605424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55645 (or 55639 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

The square root of 513605424 is about 22662.8644261929. The cubic root of 513605424 is about 800.8352859016.

The spelling of 513605424 in words is "five hundred thirteen million, six hundred five thousand, four hundred twenty-four".