520514000 has 80 divisors (see below), whose sum is σ = 1264111056. Its totient is φ = 207296000.

The previous prime is 520513979. The next prime is 520514009. The reversal of 520514000 is 415025.

It can be written as a sum of positive squares in 8 ways, for example, as 366952336 + 153561664 = 19156^2 + 12392^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 520514000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (520514009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 633590 + ... + 634410.

Almost surely, 2^520514000 is an apocalyptic number.

520514000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 520514000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (632055528).

520514000 is an abundant number, since it is smaller than the sum of its proper divisors (743597056).

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

520514000 is a wasteful number, since it uses less digits than its factorization.

520514000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1161 (or 1145 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 17.

The square root of 520514000 is about 22814.7759138677. The cubic root of 520514000 is about 804.4100199842.

Adding to 520514000 its reverse (415025), we get a palindrome (520929025).

The spelling of 520514000 in words is "five hundred twenty million, five hundred fourteen thousand".