514131520 has 84 divisors (see below), whose sum is σ = 1424200860. Its totient is φ = 176268288.

The previous prime is 514131479. The next prime is 514131523. The reversal of 514131520 is 25131415.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 218566656 + 295564864 = 14784^2 + 17192^2 .

It is a junction number, because it is equal to n+sod(n) for n = 514131491 and 514131500.

It is not an unprimeable number, because it can be changed into a prime (514131523) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 715 + ... + 32074.

Almost surely, 2^514131520 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 514131520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (712100430).

514131520 is an abundant number, since it is smaller than the sum of its proper divisors (910069340).

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

514131520 is a wasteful number, since it uses less digits than its factorization.

514131520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32820 (or 32803 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 22.

The square root of 514131520 is about 22674.4684612451. The cubic root of 514131520 is about 801.1086296324.

Adding to 514131520 its reverse (25131415), we get a palindrome (539262935).

The spelling of 514131520 in words is "five hundred fourteen million, one hundred thirty-one thousand, five hundred twenty".