513534840 has 512 divisors, whose sum is σ = 2059223040. Its totient is φ = 99532800.

The previous prime is 513534821. The next prime is 513534851. The reversal of 513534840 is 48435315.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 12525220 + ... + 12525260.

It is an arithmetic number, because the mean of its divisors is an integer number (4021920).

Almost surely, 2^513534840 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 513534840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1029611520).

513534840 is an abundant number, since it is smaller than the sum of its proper divisors (1545688200).

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

513534840 is a wasteful number, since it uses less digits than its factorization.

513534840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 33.

The square root of 513534840 is about 22661.3071114620. The cubic root of 513534840 is about 800.7985983689.

The spelling of 513534840 in words is "five hundred thirteen million, five hundred thirty-four thousand, eight hundred forty".