513479784 has 128 divisors (see below), whose sum is σ = 1421844480. Its totient is φ = 153964800.

The previous prime is 513479723. The next prime is 513479803. The reversal of 513479784 is 487974315.

It is a happy number.

It is a super-2 number, since 2×513479784² = 527322977153373312, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 632739 + ... + 633549.

It is an arithmetic number, because the mean of its divisors is an integer number (11108160).

Almost surely, 2^513479784 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 513479784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (710922240).

513479784 is an abundant number, since it is smaller than the sum of its proper divisors (908364696).

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

513479784 is a wasteful number, since it uses less digits than its factorization.

513479784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 911 (or 907 counting only the distinct ones).

The product of its digits is 846720, while the sum is 48.

The square root of 513479784 is about 22660.0923210829. The cubic root of 513479784 is about 800.7699795100.

The spelling of 513479784 in words is "five hundred thirteen million, four hundred seventy-nine thousand, seven hundred eighty-four".