513805824 has 240 divisors, whose sum is σ = 1796322528. Its totient is φ = 138018816.

The previous prime is 513805823. The next prime is 513805837. The reversal of 513805824 is 428508315.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (513805823) 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, 547884 + ... + 548820.

Almost surely, 2^513805824 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 513805824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (898161264).

513805824 is an abundant number, since it is smaller than the sum of its proper divisors (1282516704).

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

513805824 is a wasteful number, since it uses less digits than its factorization.

513805824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 985 (or 966 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The square root of 513805824 is about 22667.2853248906. The cubic root of 513805824 is about 800.9394297412.

The spelling of 513805824 in words is "five hundred thirteen million, eight hundred five thousand, eight hundred twenty-four".