513094414080 has 144 divisors (see below), whose sum is σ = 1650486176640. Its totient is φ = 135840681984.

The previous prime is 513094414051. The next prime is 513094414111. The reversal of 513094414080 is 80414490315.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 53119 + ... + 1014401.

It is an arithmetic number, because the mean of its divisors is an integer number (11461709560).

Almost surely, 2^513094414080 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 513094414080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (825243088320).

513094414080 is an abundant number, since it is smaller than the sum of its proper divisors (1137391762560).

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

513094414080 is a wasteful number, since it uses less digits than its factorization.

513094414080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 961446 (or 961432 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 39.

The spelling of 513094414080 in words is "five hundred thirteen billion, ninety-four million, four hundred fourteen thousand, eighty".