513873360 has 960 divisors, whose sum is σ = 2495840256. Its totient is φ = 91238400.

The previous prime is 513873343. The next prime is 513873397. The reversal of 513873360 is 63378315.

513873360 is a `hidden beast` number, since 513 + 87 + 3 + 3 + 60 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 16576545 + ... + 16576575.

Almost surely, 2^513873360 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 513873360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1247920128).

513873360 is an abundant number, since it is smaller than the sum of its proper divisors (1981966896).

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

513873360 is a wasteful number, since it uses less digits than its factorization.

513873360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 513873360 is about 22668.7749999862. The cubic root of 513873360 is about 800.9745207380.

The spelling of 513873360 in words is "five hundred thirteen million, eight hundred seventy-three thousand, three hundred sixty".