513754864 has 120 divisors (see below), whose sum is σ = 1226921472. Its totient is φ = 203723520.

The previous prime is 513754849. The next prime is 513754867. The reversal of 513754864 is 468457315.

It is a self number, because there is not a number n which added to its sum of digits gives 513754864.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (513754867) 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 23 ways as a sum of consecutive naturals, for example, 7235949 + ... + 7236019.

Almost surely, 2^513754864 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 513754864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (613460736).

513754864 is an abundant number, since it is smaller than the sum of its proper divisors (713166608).

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

513754864 is a wasteful number, since it uses less digits than its factorization.

513754864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215 (or 156 counting only the distinct ones).

The product of its digits is 403200, while the sum is 43.

The square root of 513754864 is about 22666.1612100505. The cubic root of 513754864 is about 800.9129494245.

The spelling of 513754864 in words is "five hundred thirteen million, seven hundred fifty-four thousand, eight hundred sixty-four".