513934848 has 320 divisors, whose sum is σ = 1791313920. Its totient is φ = 142442496.

The previous prime is 513934843. The next prime is 513934859. The reversal of 513934848 is 848439315.

513934848 is a `hidden beast` number, since 513 + 93 + 4 + 8 + 48 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (513934843) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4548040 + ... + 4548152.

It is an arithmetic number, because the mean of its divisors is an integer number (5597856).

Almost surely, 2^513934848 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 513934848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (895656960).

513934848 is an abundant number, since it is smaller than the sum of its proper divisors (1277379072).

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

513934848 is a wasteful number, since it uses less digits than its factorization.

513934848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194 (or 172 counting only the distinct ones).

The product of its digits is 414720, while the sum is 45.

The square root of 513934848 is about 22670.1311862106. The cubic root of 513934848 is about 801.0064665836.

The spelling of 513934848 in words is "five hundred thirteen million, nine hundred thirty-four thousand, eight hundred forty-eight".