513455360 has 72 divisors (see below), whose sum is σ = 1341730656. Its totient is φ = 186705920.

The previous prime is 513455339. The next prime is 513455363. The reversal of 513455360 is 63554315.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (513455363) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4154 + ... + 32313.

It is an arithmetic number, because the mean of its divisors is an integer number (18635148).

Almost surely, 2^513455360 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 513455360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (670865328).

513455360 is an abundant number, since it is smaller than the sum of its proper divisors (828275296).

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

513455360 is a wasteful number, since it uses less digits than its factorization.

513455360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36499 (or 36485 counting only the distinct ones).

The product of its (nonzero) digits is 27000, while the sum is 32.

The square root of 513455360 is about 22659.5533936572. The cubic root of 513455360 is about 800.7572829270.

The spelling of 513455360 in words is "five hundred thirteen million, four hundred fifty-five thousand, three hundred sixty".