513934380 has 72 divisors (see below), whose sum is σ = 1562652000. Its totient is φ = 136722432.

The previous prime is 513934373. The next prime is 513934451. The reversal of 513934380 is 83439315.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 77641 + ... + 83999.

It is an arithmetic number, because the mean of its divisors is an integer number (21703500).

Almost surely, 2^513934380 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 513934380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (781326000).

513934380 is an abundant number, since it is smaller than the sum of its proper divisors (1048717620).

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

513934380 is a wasteful number, since it uses less digits than its factorization.

513934380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6823 (or 6818 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 513934380 is about 22670.1208642565. The cubic root of 513934380 is about 801.0062234457.

The spelling of 513934380 in words is "five hundred thirteen million, nine hundred thirty-four thousand, three hundred eighty".