514529568 has 144 divisors (see below), whose sum is σ = 1726373376. Its totient is φ = 142248960.

The previous prime is 514529563. The next prime is 514529579. The reversal of 514529568 is 865925415.

514529568 is a `hidden beast` number, since 51 + 452 + 95 + 68 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (514529563) 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 23 ways as a sum of consecutive naturals, for example, 58380 + ... + 66612.

It is an arithmetic number, because the mean of its divisors is an integer number (11988704).

Almost surely, 2^514529568 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 514529568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (863186688).

514529568 is an abundant number, since it is smaller than the sum of its proper divisors (1211843808).

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

514529568 is a wasteful number, since it uses less digits than its factorization.

514529568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8287 (or 8276 counting only the distinct ones).

The product of its digits is 432000, while the sum is 45.

The square root of 514529568 is about 22683.2442124137. The cubic root of 514529568 is about 801.3153195662.

The spelling of 514529568 in words is "five hundred fourteen million, five hundred twenty-nine thousand, five hundred sixty-eight".