521713000 has 64 divisors (see below), whose sum is σ = 1292662800. Its totient is φ = 196403200.

The previous prime is 521712991. The next prime is 521713007. The reversal of 521713000 is 317125.

It can be written as a sum of positive squares in 8 ways, for example, as 203518756 + 318194244 = 14266^2 + 17838^2 .

It is not an unprimeable number, because it can be changed into a prime (521713007) 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, 1656 + ... + 32344.

Almost surely, 2^521713000 is an apocalyptic number.

521713000 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 521713000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (646331400).

521713000 is an abundant number, since it is smaller than the sum of its proper divisors (770949800).

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

521713000 is a wasteful number, since it uses less digits than its factorization.

521713000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30727 (or 30713 counting only the distinct ones).

The product of its (nonzero) digits is 210, while the sum is 19.

The square root of 521713000 is about 22841.0376296700. The cubic root of 521713000 is about 805.0271971059.

The spelling of 521713000 in words is "five hundred twenty-one million, seven hundred thirteen thousand".