6520905000 has 280 divisors, whose sum is σ = 22920046050. Its totient is φ = 1737936000.

The previous prime is 6520904989. The next prime is 6520905011. The reversal of 6520905000 is 5090256.

6520905000 is a `hidden beast` number, since 6 + 520 + 90 + 50 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (6520904989) and next prime (6520905011).

It can be written as a sum of positive squares in 5 ways, for example, as 911194596 + 5609710404 = 30186^2 + 74898^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 69 ways as a sum of consecutive naturals, for example, 3644106 + ... + 3645894.

Almost surely, 2^6520905000 is an apocalyptic number.

6520905000 is a gapful number since it is divisible by the number (60) 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 6520905000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11460023025).

6520905000 is an abundant number, since it is smaller than the sum of its proper divisors (16399141050).

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

6520905000 is an equidigital number, since it uses as much as digits as its factorization.

6520905000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1833 (or 1799 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 27.

The square root of 6520905000 is about 80752.1207151862. The cubic root of 6520905000 is about 1868.2541590420.

Adding to 6520905000 its reverse (5090256), we get a palindrome (6525995256).

The spelling of 6520905000 in words is "six billion, five hundred twenty million, nine hundred five thousand".