514512 has 50 divisors (see below), whose sum is σ = 1492898. Its totient is φ = 171072.

The previous prime is 514499. The next prime is 514513. The reversal of 514512 is 215415.

It can be written as a sum of positive squares in only one way, i.e., 467856 + 46656 = 684^2 + 216^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 514512.

It is not an unprimeable number, because it can be changed into a prime (514513) by changing a digit.

514512 is an untouchable number, because it is not equal to the sum of proper divisors of any 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 9 ways as a sum of consecutive naturals, for example, 1098 + ... + 1494.

2⁵¹⁴⁵¹² 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 514512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (746449).

514512 is an abundant number, since it is smaller than the sum of its proper divisors (978386).

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

514512 is a wasteful number, since it uses less digits than its factorization.

514512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 417 (or 402 counting only the distinct ones).

The product of its digits is 200, while the sum is 18.

The square root of 514512 is about 717.2949184262. The cubic root of 514512 is about 80.1306199476.

Adding to 514512 its reverse (215415), we get a palindrome (729927).

The spelling of 514512 in words is "five hundred fourteen thousand, five hundred twelve".