513875840 has 128 divisors (see below), whose sum is σ = 1292544000. Its totient is φ = 195102720.

The previous prime is 513875797. The next prime is 513875951. The reversal of 513875840 is 48578315.

It is a tau number, because it is divible by the number of its divisors (128).

It is a hoax number, since the sum of its digits (41) coincides with the sum of the digits of its distinct prime factors.

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 15 ways as a sum of consecutive naturals, for example, 1170341 + ... + 1170779.

It is an arithmetic number, because the mean of its divisors is an integer number (10098000).

Almost surely, 2^513875840 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 513875840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (646272000).

513875840 is an abundant number, since it is smaller than the sum of its proper divisors (778668160).

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

513875840 is a wasteful number, since it uses less digits than its factorization.

513875840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 548 (or 536 counting only the distinct ones).

The product of its (nonzero) digits is 134400, while the sum is 41.

The square root of 513875840 is about 22668.8297007146. The cubic root of 513875840 is about 800.9758092614.

The spelling of 513875840 in words is "five hundred thirteen million, eight hundred seventy-five thousand, eight hundred forty".