513117930 has 64 divisors (see below), whose sum is σ = 1341204480. Its totient is φ = 124878336.

The previous prime is 513117907. The next prime is 513117931. The reversal of 513117930 is 39711315.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (513117931) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27319 + ... + 42101.

It is an arithmetic number, because the mean of its divisors is an integer number (20956320).

Almost surely, 2^513117930 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 513117930, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (670602240).

513117930 is an abundant number, since it is smaller than the sum of its proper divisors (828086550).

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

513117930 is a wasteful number, since it uses less digits than its factorization.

513117930 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14895.

The product of its (nonzero) digits is 2835, while the sum is 30.

The square root of 513117930 is about 22652.1065245597. The cubic root of 513117930 is about 800.5818319452.

The spelling of 513117930 in words is "five hundred thirteen million, one hundred seventeen thousand, nine hundred thirty".