513363984 has 80 divisors (see below), whose sum is σ = 1546627200. Its totient is φ = 146670720.

The previous prime is 513363967. The next prime is 513363997. The reversal of 513363984 is 489363315.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 874 + ... + 32054.

It is an arithmetic number, because the mean of its divisors is an integer number (19332840).

Almost surely, 2^513363984 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 513363984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (773313600).

513363984 is an abundant number, since it is smaller than the sum of its proper divisors (1033263216).

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

513363984 is a wasteful number, since it uses less digits than its factorization.

513363984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31213 (or 31193 counting only the distinct ones).

The product of its digits is 233280, while the sum is 42.

The square root of 513363984 is about 22657.5370241339. The cubic root of 513363984 is about 800.7097784153.

The spelling of 513363984 in words is "five hundred thirteen million, three hundred sixty-three thousand, nine hundred eighty-four".