513812080 has 80 divisors (see below), whose sum is σ = 1269159840. Its totient is φ = 192782336.

The previous prime is 513812071. The next prime is 513812083. The reversal of 513812080 is 80218315.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (513812083) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 634716 + ... + 635524.

It is an arithmetic number, because the mean of its divisors is an integer number (15864498).

Almost surely, 2^513812080 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 513812080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (634579920).

513812080 is an abundant number, since it is smaller than the sum of its proper divisors (755347760).

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

513812080 is a wasteful number, since it uses less digits than its factorization.

513812080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1306 (or 1300 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 28.

The square root of 513812080 is about 22667.4233207041. The cubic root of 513812080 is about 800.9426804224.

The spelling of 513812080 in words is "five hundred thirteen million, eight hundred twelve thousand, eighty".