515290000 has 75 divisors (see below), whose sum is σ = 1253088727. Its totient is φ = 205208000.

The previous prime is 515289961. The next prime is 515290001. The reversal of 515290000 is 92515.

The square root of 515290000 is 22700.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 2 ways, for example, as 40398736 + 474891264 = 6356^2 + 21792^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (515290001) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 2269887 + ... + 2270113.

Almost surely, 2^515290000 is an apocalyptic number.

515290000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

515290000 is the 22700-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 515290000

515290000 is an abundant number, since it is smaller than the sum of its proper divisors (737798727).

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

515290000 is an frugal number, since it uses more digits than its factorization.

515290000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 482 (or 234 counting only the distinct ones).

The product of its (nonzero) digits is 450, while the sum is 22.

The cubic root of 515290000 is about 801.7098844320.

The spelling of 515290000 in words is "five hundred fifteen million, two hundred ninety thousand".