513084780 has 168 divisors, whose sum is σ = 1740388272. Its totient is φ = 126251136.

The previous prime is 513084779. The next prime is 513084787. The reversal of 513084780 is 87480315.

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

It is not an unprimeable number, because it can be changed into a prime (513084787) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 188187 + ... + 190893.

It is an arithmetic number, because the mean of its divisors is an integer number (10359454).

Almost surely, 2^513084780 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 513084780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (870194136).

513084780 is an abundant number, since it is smaller than the sum of its proper divisors (1227303492).

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

513084780 is a wasteful number, since it uses less digits than its factorization.

513084780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2747 (or 2730 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 513084780 is about 22651.3747927140. The cubic root of 513084780 is about 800.5645910358.

The spelling of 513084780 in words is "five hundred thirteen million, eighty-four thousand, seven hundred eighty".