513469824 has 192 divisors, whose sum is σ = 1643036400. Its totient is φ = 141496320.

The previous prime is 513469807. The next prime is 513469829. The reversal of 513469824 is 428964315.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (513469829) 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, 545194 + ... + 546134.

Almost surely, 2^513469824 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 513469824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (821518200).

513469824 is an abundant number, since it is smaller than the sum of its proper divisors (1129566576).

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

513469824 is a wasteful number, since it uses less digits than its factorization.

513469824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1001 (or 982 counting only the distinct ones).

The product of its digits is 207360, while the sum is 42.

The square root of 513469824 is about 22659.8725503918. The cubic root of 513469824 is about 800.7648019478.

The spelling of 513469824 in words is "five hundred thirteen million, four hundred sixty-nine thousand, eight hundred twenty-four".